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