(x+3)(x-3)=(x+9)(x-8)

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Solution for (x+3)(x-3)=(x+9)(x-8) equation:



(x+3)(x-3)=(x+9)(x-8)
We move all terms to the left:
(x+3)(x-3)-((x+9)(x-8))=0
We use the square of the difference formula
x^2-((x+9)(x-8))-9=0
We multiply parentheses ..
x^2-((+x^2-8x+9x-72))-9=0
We calculate terms in parentheses: -((+x^2-8x+9x-72)), so:
(+x^2-8x+9x-72)
We get rid of parentheses
x^2-8x+9x-72
We add all the numbers together, and all the variables
x^2+x-72
Back to the equation:
-(x^2+x-72)
We get rid of parentheses
x^2-x^2-x+72-9=0
We add all the numbers together, and all the variables
-1x+63=0
We move all terms containing x to the left, all other terms to the right
-x=-63
x=-63/-1
x=+63

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