SOLUTION: 4x(x-9)-5x(x-8)=-5

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Question 283328: 4x(x-9)-5x(x-8)=-5
Found 2 solutions by mananth, Deina:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
4x(x-9)-5x(x-8)=-5
4x^2-36x-5x^2+40x=-5
-x^2+4x+5=0
x^2-4x-5=0
x^2-5x+x-5=0
x(x-5)+1(x-5)=0
(x+1)(x-5)=0

Answer by Deina(147)   (Show Source): You can put this solution on YOUR website!
First we need to simplify the equation:
4*x*(x-9)-5*x*(x-8)=-5
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-1,x=5.
  • Graphical form: Equation was fully solved.
  • Text form: 4*x*(x-9)-5*x*(x-8)=-5 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 4*x*(x-9)-5*x*(x-8)=-5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved these terms to the left highlight_green%28+5+%29
It becomes .

Look at .
Expanded term 4%2Ax by using associative property on %28x-9%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .

Look at .
Expanded term -5%2Ax by using associative property on %28x-8%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+4%2Ax%5E2+%29,highlight_red%28+-5%2Ax%5E2+%29 replacing them with highlight_green%28+%284-5%29%2Ax%5E2+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-36%2Ax+%29,highlight_red%28+40%2Ax+%29 replacing them with highlight_green%28+%28-36%2B40%29%2Ax+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .

Look at .
Equation highlight_red%28+-x%5E2%2B4%2Ax%2B5=0+%29 is a quadratic equation: -x^2+4*x+5 =0, and has solutions -1,5
It becomes .
Result:
This is an equation! Solutions: x=-1,x=5.

Universal Simplifier and Solver


Done!


Notice that this turns it into the quadratic , which you can solve as any standard quadratic in the form of and bob's your uncle!

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