(x+7)(x+7)-12x=(x-5)(x-5)

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Solution for (x+7)(x+7)-12x=(x-5)(x-5) equation:



(x+7)(x+7)-12x=(x-5)(x-5)
We move all terms to the left:
(x+7)(x+7)-12x-((x-5)(x-5))=0
We add all the numbers together, and all the variables
-12x+(x+7)(x+7)-((x-5)(x-5))=0
We multiply parentheses ..
(+x^2+7x+7x+49)-12x-((x-5)(x-5))=0
We calculate terms in parentheses: -((x-5)(x-5)), so:
(x-5)(x-5)
We multiply parentheses ..
(+x^2-5x-5x+25)
We get rid of parentheses
x^2-5x-5x+25
We add all the numbers together, and all the variables
x^2-10x+25
Back to the equation:
-(x^2-10x+25)
We get rid of parentheses
x^2-x^2+7x+7x-12x+10x+49-25=0
We add all the numbers together, and all the variables
12x+24=0
We move all terms containing x to the left, all other terms to the right
12x=-24
x=-24/12
x=-2

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