(2x+1)(x-1)+x2=3(x-1)(x+2)-3

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Solution for (2x+1)(x-1)+x2=3(x-1)(x+2)-3 equation:



(2x+1)(x-1)+x2=3(x-1)(x+2)-3
We move all terms to the left:
(2x+1)(x-1)+x2-(3(x-1)(x+2)-3)=0
We add all the numbers together, and all the variables
x^2+(2x+1)(x-1)-(3(x-1)(x+2)-3)=0
We multiply parentheses ..
x^2+(+2x^2-2x+x-1)-(3(x-1)(x+2)-3)=0
We calculate terms in parentheses: -(3(x-1)(x+2)-3), so:
3(x-1)(x+2)-3
We multiply parentheses ..
3(+x^2+2x-1x-2)-3
We multiply parentheses
3x^2+6x-3x-6-3
We add all the numbers together, and all the variables
3x^2+3x-9
Back to the equation:
-(3x^2+3x-9)
We get rid of parentheses
x^2+2x^2-3x^2-2x+x-3x-1+9=0
We add all the numbers together, and all the variables
-4x+8=0
We move all terms containing x to the left, all other terms to the right
-4x=-8
x=-8/-4
x=+2

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