SOLUTION: please me solve this equation:find for the unknown 1.3bx-2=4ax+3: find for the x 2.4x+3=10x+5 3.81x+13=100x-2 4.(x+2) (x+3)=(x+4) (x-2) 5.ax+5=bx-2

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Question 6702: please me solve this equation:find for the unknown
1.3bx-2=4ax+3: find for the x
2.4x+3=10x+5
3.81x+13=100x-2
4.(x+2) (x+3)=(x+4) (x-2)
5.ax+5=bx-2
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
i'll solve a couple and you do the rest, okay?
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-0.333333333333333.
  • Graphical form: Equation 4x%2B3=10x%2B5 was fully solved.
  • Text form: 4x+3=10x+5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4x%2B3=10x%2B5+%29
    For tutors: simplify_cartoon( 4x+3=10x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ax%2B3=highlight_red%28+10%2Ax%2B5+%29.
Moved these terms to the left highlight_green%28+-10%2Ax+%29,highlight_green%28+-5+%29
It becomes 4%2Ax%2B3-highlight_green%28+10%2Ax+%29-highlight_green%28+5+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+3+%29-10%2Ax-highlight_red%28+5+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-2+%29-10%2Ax=0.
Look at 4%2Ax%2Bhighlight_red%28+-2+%29-10%2Ax=0.
Moved -2 to the right of expression
It becomes 4%2Ax-10%2Ax%2Bhighlight_green%28+-2+%29=0.
Look at 4%2Ax-10%2Ax%2Bhighlight_red%28+-2+%29=0.
Removed extra sign in front of -2
It becomes 4%2Ax-10%2Ax-highlight_green%28+2+%29=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+10%2Ax+%29-2=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-10%2Ax+%29 replacing them with highlight_green%28+%284-10%29%2Ax+%29
It becomes highlight_green%28+%284-10%29%2Ax+%29-2=0.
Look at %28highlight_red%28+4+%29-highlight_red%28+10+%29%29%2Ax-2=0.
Added fractions or integers together
It becomes %28highlight_green%28+-6+%29%29%2Ax-2=0.
Look at %28highlight_red%28+-6+%29%29%2Ax-2=0.
Removed extra sign in front of -6
It becomes %28-highlight_green%28+6+%29%29%2Ax-2=0.
Look at highlight_red%28+%28-highlight_red%28+6+%29%29%2Ax+%29-2=0.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -highlight_green%28+6+%29%2Ax-2=0.
Look at highlight_red%28+-6%2Ax-2+%29=0.
Solved linear equation highlight_red%28+-6%2Ax-2=0+%29 equivalent to -6*x-2 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-0.333333333333333.

Universal Simplifier and Solver


Done!


Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-4.66666666666667.
  • Graphical form: Equation %28x%2B2%29%2A%28x%2B3%29=%28x%2B4%29%2A%28x-2%29 was fully solved.
  • Text form: (x+2)*(x+3)=(x+4)*(x-2) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28x%2B2%29%2A%28x%2B3%29=%28x%2B4%29%2A%28x-2%29+%29
    For tutors: simplify_cartoon( (x+2)*(x+3)=(x+4)*(x-2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28x%2B2%29%2A%28x%2B3%29=highlight_red%28+%28x%2B4%29%2A%28x-2%29+%29.
Moved these terms to the left highlight_green%28+-%28x%2B4%29%2A%28x-2%29+%29
It becomes %28x%2B2%29%2A%28x%2B3%29-highlight_green%28+%28x%2B4%29%2A%28x-2%29+%29=0.
Look at highlight_red%28+%28x%2B2%29%2A%28x%2B3%29+%29-%28x%2B4%29%2A%28x-2%29=0.
Expanded term %28x%2B3%29 by using associative property on %28x%2B2%29
It becomes .
Look at highlight_red%28+%28x%2B3%29%2Ax+%29%2B%28x%2B3%29%2A2-%28x%2B4%29%2A%28x-2%29=0.
Expanded term x by using associative property on %28x%2B3%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes highlight_green%28+x%5E2+%29%2Bx%2A3%2B%28x%2B3%29%2A2-%28x%2B4%29%2A%28x-2%29=0.
Look at x%5E2%2Bx%2A3%2Bhighlight_red%28+%28x%2B3%29%2A2+%29-%28x%2B4%29%2A%28x-2%29=0.
Expanded term 2 by using associative property on %28x%2B3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes x%5E2%2Bx%2A3%2B2%2Ax%2Bhighlight_green%28+6+%29-%28x%2B4%29%2A%28x-2%29=0.
Look at x%5E2%2Bx%2A3%2B2%2Ax%2Bhighlight_red%28+6+%29-%28x%2B4%29%2A%28x-2%29=0.
Moved 6 to the right of expression
It becomes x%5E2%2Bx%2A3%2B2%2Ax-%28x%2B4%29%2A%28x-2%29%2Bhighlight_green%28+6+%29=0.
Look at .
Eliminated similar terms highlight_red%28+x%2A3+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%283%2B2%29%2Ax+%29
It becomes x%5E2%2Bhighlight_green%28+%283%2B2%29%2Ax+%29-%28x%2B4%29%2A%28x-2%29%2B6=0.
Look at .
Added fractions or integers together
It becomes x%5E2%2B%28highlight_green%28+5+%29%29%2Ax-%28x%2B4%29%2A%28x-2%29%2B6=0.
Look at x%5E2%2Bhighlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-%28x%2B4%29%2A%28x-2%29%2B6=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes x%5E2%2Bhighlight_green%28+5+%29%2Ax-%28x%2B4%29%2A%28x-2%29%2B6=0.
Look at x%5E2%2B5%2Ax-highlight_red%28+%28x%2B4%29%2A%28x-2%29+%29%2B6=0.
Expanded term -%28x-2%29 by using associative property on %28x%2B4%29
It becomes .
Look at x%5E2%2B5%2Ax-highlight_red%28+%28x-2%29%2Ax+%29-%28x-2%29%2A4%2B6=0.
Expanded term -x by using associative property on %28x-2%29
It becomes .
Look at x%5E2%2B5%2Ax-highlight_red%28+x+%29%2Ahighlight_red%28+x+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0.
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes x%5E2%2B5%2Ax-highlight_green%28+x%5E2+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0.
Look at highlight_red%28+x%5E2+%29%2B5%2Ax-highlight_red%28+x%5E2+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0.
Eliminated similar terms highlight_red%28+x%5E2+%29,highlight_red%28+-x%5E2+%29 replacing them with highlight_green%28+%281-1%29%2Ax%5E2+%29
It becomes highlight_green%28+%281-1%29%2Ax%5E2+%29%2B5%2Ax%2Bx%2A2-%28x-2%29%2A4%2B6=0.
Look at .
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+x%2A2+%29 replacing them with highlight_green%28+%285%2B2%29%2Ax+%29
It becomes %281-1%29%2Ax%5E2%2Bhighlight_green%28+%285%2B2%29%2Ax+%29-%28x-2%29%2A4%2B6=0.
Look at highlight_red%28+%281-1%29%2Ax%5E2+%29%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0.
Since highlight_red%28+%281-1%29%2Ax%5E2+%29 has zero as a factor, it should be replaced with a zero
Look at 0%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0.
Added fractions or integers together
It becomes 0%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0.
Look at 0%2B%28highlight_red%28+5+%29%2Bhighlight_red%28+2+%29%29%2Ax-%28x-2%29%2A4%2B6=0.
Added fractions or integers together
It becomes 0%2B%28highlight_green%28+7+%29%29%2Ax-%28x-2%29%2A4%2B6=0.
Look at highlight_red%28+0+%29%2B%287%29%2Ax-%28x-2%29%2A4%2B6=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes %287%29%2Ax-%28x-2%29%2A4%2B6=0.
Look at highlight_red%28+%28highlight_red%28+7+%29%29%2Ax+%29-%28x-2%29%2A4%2B6=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes highlight_green%28+7+%29%2Ax-%28x-2%29%2A4%2B6=0.
Look at 7%2Ax-highlight_red%28+%28x-2%29%2A4+%29%2B6=0.
Expanded term -4 by using associative property on %28x-2%29
It becomes 7%2Ax-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A2+%29%2B6=0.
Look at 7%2Ax-4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2B6=0.
Multiplied numerator integers
It becomes 7%2Ax-4%2Ax%2Bhighlight_green%28+8+%29%2B6=0.
Look at 7%2Ax-4%2Ax%2Bhighlight_red%28+8+%29%2Bhighlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 7%2Ax-4%2Ax%2Bhighlight_green%28+14+%29=0.
Look at highlight_red%28+7%2Ax+%29-highlight_red%28+4%2Ax+%29%2B14=0.
Eliminated similar terms highlight_red%28+7%2Ax+%29,highlight_red%28+-4%2Ax+%29 replacing them with highlight_green%28+%287-4%29%2Ax+%29
It becomes highlight_green%28+%287-4%29%2Ax+%29%2B14=0.
Look at %28highlight_red%28+7+%29-highlight_red%28+4+%29%29%2Ax%2B14=0.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax%2B14=0.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B14=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax%2B14=0.
Look at highlight_red%28+3%2Ax%2B14+%29=0.
Solved linear equation highlight_red%28+3%2Ax%2B14=0+%29 equivalent to 3*x+14 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-4.66666666666667.

Universal Simplifier and Solver


Done!