X(2x-6)=(2x+9)(x-9)

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Solution for X(2x-6)=(2x+9)(x-9) equation:



X(2X-6)=(2X+9)(X-9)
We move all terms to the left:
X(2X-6)-((2X+9)(X-9))=0
We multiply parentheses
2X^2-6X-((2X+9)(X-9))=0
We multiply parentheses ..
2X^2-((+2X^2-18X+9X-81))-6X=0
We calculate terms in parentheses: -((+2X^2-18X+9X-81)), so:
(+2X^2-18X+9X-81)
We get rid of parentheses
2X^2-18X+9X-81
We add all the numbers together, and all the variables
2X^2-9X-81
Back to the equation:
-(2X^2-9X-81)
We add all the numbers together, and all the variables
2X^2-6X-(2X^2-9X-81)=0
We get rid of parentheses
2X^2-2X^2-6X+9X+81=0
We add all the numbers together, and all the variables
3X+81=0
We move all terms containing X to the left, all other terms to the right
3X=-81
X=-81/3
X=-27

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