(x-5)(x-5)-(x+4)(x+4)=9x

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Solution for (x-5)(x-5)-(x+4)(x+4)=9x equation:



(x-5)(x-5)-(x+4)(x+4)=9x
We move all terms to the left:
(x-5)(x-5)-(x+4)(x+4)-(9x)=0
We add all the numbers together, and all the variables
-9x+(x-5)(x-5)-(x+4)(x+4)=0
We multiply parentheses ..
(+x^2-5x-5x+25)-9x-(x+4)(x+4)=0
We get rid of parentheses
x^2-5x-5x-9x-(x+4)(x+4)+25=0
We multiply parentheses ..
x^2-(+x^2+4x+4x+16)-5x-5x-9x+25=0
We add all the numbers together, and all the variables
x^2-(+x^2+4x+4x+16)-19x+25=0
We get rid of parentheses
x^2-x^2-4x-4x-19x-16+25=0
We add all the numbers together, and all the variables
-27x+9=0
We move all terms containing x to the left, all other terms to the right
-27x=-9
x=-9/-27
x=1/3

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