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

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



X(2X-4)+X(2X-3)=(4X+2)(X-3)
We move all terms to the left:
X(2X-4)+X(2X-3)-((4X+2)(X-3))=0
We multiply parentheses
2X^2+2X^2-4X-3X-((4X+2)(X-3))=0
We multiply parentheses ..
2X^2+2X^2-((+4X^2-12X+2X-6))-4X-3X=0
We calculate terms in parentheses: -((+4X^2-12X+2X-6)), so:
(+4X^2-12X+2X-6)
We get rid of parentheses
4X^2-12X+2X-6
We add all the numbers together, and all the variables
4X^2-10X-6
Back to the equation:
-(4X^2-10X-6)
We add all the numbers together, and all the variables
4X^2-7X-(4X^2-10X-6)=0
We get rid of parentheses
4X^2-4X^2-7X+10X+6=0
We add all the numbers together, and all the variables
3X+6=0
We move all terms containing X to the left, all other terms to the right
3X=-6
X=-6/3
X=-2

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