SOLUTION: 4(4-w)=3(2w+2)

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Question 19129: 4(4-w)=3(2w+2)
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: w=1.
  • Graphical form: Equation 4%2A%284-w%29=3%2A%282w%2B2%29 was fully solved.
  • Text form: 4*(4-w)=3*(2w+2) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4%2A%284-w%29=3%2A%282w%2B2%29+%29
    For tutors: simplify_cartoon( 4*(4-w)=3*(2w+2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2A%28highlight_red%28+4+%29-w%29=3%2A%282w%2B2%29.
Moved 4 to the right of expression
It becomes 4%2A%28-w%2Bhighlight_green%28+4+%29%29=3%2A%282w%2B2%29.
Look at 4%2A%28-w%2B4%29=highlight_red%28+3%2A%282%2Aw%2B2%29+%29.
Moved these terms to the left highlight_green%28+-3%2A%282%2Aw%2B2%29+%29
It becomes 4%2A%28-w%2B4%29-highlight_green%28+3%2A%282%2Aw%2B2%29+%29=0.
Look at highlight_red%28+4%2A%28-w%2B4%29+%29-3%2A%282%2Aw%2B2%29=0.
Expanded term 4 by using associative property on %28-w%2B4%29
It becomes -highlight_green%28+4%2Aw+%29%2Bhighlight_green%28+4%2A4+%29-3%2A%282%2Aw%2B2%29=0.
Look at -4%2Aw%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+4+%29-3%2A%282%2Aw%2B2%29=0.
Multiplied numerator integers
It becomes -4%2Aw%2Bhighlight_green%28+16+%29-3%2A%282%2Aw%2B2%29=0.
Look at -4%2Aw%2Bhighlight_red%28+16+%29-3%2A%282%2Aw%2B2%29=0.
Moved 16 to the right of expression
It becomes -4%2Aw-3%2A%282%2Aw%2B2%29%2Bhighlight_green%28+16+%29=0.
Look at -4%2Aw-highlight_red%28+3%2A%282%2Aw%2B2%29+%29%2B16=0.
Expanded term -3 by using associative property on %282%2Aw%2B2%29
It becomes -4%2Aw-highlight_green%28+3%2A2%2Aw+%29-highlight_green%28+3%2A2+%29%2B16=0.
Look at -4%2Aw-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Aw-3%2A2%2B16=0.
Multiplied numerator integers
It becomes -4%2Aw-highlight_green%28+6+%29%2Aw-3%2A2%2B16=0.
Look at -4%2Aw-6%2Aw-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2B16=0.
Multiplied numerator integers
It becomes -4%2Aw-6%2Aw-highlight_green%28+6+%29%2B16=0.
Look at -4%2Aw-6%2Aw-highlight_red%28+6+%29%2Bhighlight_red%28+16+%29=0.
Added fractions or integers together
It becomes -4%2Aw-6%2Aw%2Bhighlight_green%28+10+%29=0.
Look at -highlight_red%28+4%2Aw+%29-highlight_red%28+6%2Aw+%29%2B10=0.
Eliminated similar terms highlight_red%28+-4%2Aw+%29,highlight_red%28+-6%2Aw+%29 replacing them with highlight_green%28+%28-4-6%29%2Aw+%29
It becomes highlight_green%28+%28-4-6%29%2Aw+%29%2B10=0.
Look at %28-highlight_red%28+4+%29-highlight_red%28+6+%29%29%2Aw%2B10=0.
Added fractions or integers together
It becomes %28highlight_green%28+-10+%29%29%2Aw%2B10=0.
Look at %28highlight_red%28+-10+%29%29%2Aw%2B10=0.
Removed extra sign in front of -10
It becomes %28-highlight_green%28+10+%29%29%2Aw%2B10=0.
Look at highlight_red%28+%28-highlight_red%28+10+%29%29%2Aw+%29%2B10=0.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes -highlight_green%28+10+%29%2Aw%2B10=0.
Look at highlight_red%28+-10%2Aw%2B10+%29=0.
Solved linear equation highlight_red%28+-10%2Aw%2B10=0+%29 equivalent to -10*w+10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=1.

Universal Simplifier and Solver


Done!

Hope this helps!