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(x+4)(x-9)=(x)(x-12)
We move all terms to the left:
(x+4)(x-9)-((x)(x-12))=0
We multiply parentheses ..
(+x^2-9x+4x-36)-(x(x-12))=0
We calculate terms in parentheses: -(x(x-12)), so:We get rid of parentheses
x(x-12)
We multiply parentheses
x^2-12x
Back to the equation:
-(x^2-12x)
x^2-x^2-9x+4x+12x-36=0
We add all the numbers together, and all the variables
7x-36=0
We move all terms containing x to the left, all other terms to the right
7x=36
x=36/7
x=5+1/7
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