X(3x-2)=(3x+6)(x-4)

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Solution for X(3x-2)=(3x+6)(x-4) equation:



X(3X-2)=(3X+6)(X-4)
We move all terms to the left:
X(3X-2)-((3X+6)(X-4))=0
We multiply parentheses
3X^2-2X-((3X+6)(X-4))=0
We multiply parentheses ..
3X^2-((+3X^2-12X+6X-24))-2X=0
We calculate terms in parentheses: -((+3X^2-12X+6X-24)), so:
(+3X^2-12X+6X-24)
We get rid of parentheses
3X^2-12X+6X-24
We add all the numbers together, and all the variables
3X^2-6X-24
Back to the equation:
-(3X^2-6X-24)
We add all the numbers together, and all the variables
3X^2-2X-(3X^2-6X-24)=0
We get rid of parentheses
3X^2-3X^2-2X+6X+24=0
We add all the numbers together, and all the variables
4X+24=0
We move all terms containing X to the left, all other terms to the right
4X=-24
X=-24/4
X=-6

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