X(6x-2)=(6x+5)(x-2)

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Solution for X(6x-2)=(6x+5)(x-2) equation:



X(6X-2)=(6X+5)(X-2)
We move all terms to the left:
X(6X-2)-((6X+5)(X-2))=0
We multiply parentheses
6X^2-2X-((6X+5)(X-2))=0
We multiply parentheses ..
6X^2-((+6X^2-12X+5X-10))-2X=0
We calculate terms in parentheses: -((+6X^2-12X+5X-10)), so:
(+6X^2-12X+5X-10)
We get rid of parentheses
6X^2-12X+5X-10
We add all the numbers together, and all the variables
6X^2-7X-10
Back to the equation:
-(6X^2-7X-10)
We add all the numbers together, and all the variables
6X^2-2X-(6X^2-7X-10)=0
We get rid of parentheses
6X^2-6X^2-2X+7X+10=0
We add all the numbers together, and all the variables
5X+10=0
We move all terms containing X to the left, all other terms to the right
5X=-10
X=-10/5
X=-2

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