(x+3)(x-2)=(x-4)(x-4)

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Solution for (x+3)(x-2)=(x-4)(x-4) equation:



(x+3)(x-2)=(x-4)(x-4)
We move all terms to the left:
(x+3)(x-2)-((x-4)(x-4))=0
We multiply parentheses ..
(+x^2-2x+3x-6)-((x-4)(x-4))=0
We calculate terms in parentheses: -((x-4)(x-4)), so:
(x-4)(x-4)
We multiply parentheses ..
(+x^2-4x-4x+16)
We get rid of parentheses
x^2-4x-4x+16
We add all the numbers together, and all the variables
x^2-8x+16
Back to the equation:
-(x^2-8x+16)
We get rid of parentheses
x^2-x^2-2x+3x+8x-6-16=0
We add all the numbers together, and all the variables
9x-22=0
We move all terms containing x to the left, all other terms to the right
9x=22
x=22/9
x=2+4/9

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