.5x(x-2)=(.5x+2)(x-3)

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Solution for .5x(x-2)=(.5x+2)(x-3) equation:



.5x(x-2)=(.5x+2)(x-3)
We move all terms to the left:
.5x(x-2)-((.5x+2)(x-3))=0
We multiply parentheses
x^2-2x-((.5x+2)(x-3))=0
We multiply parentheses ..
x^2-((+x^2-3x+2x-6))-2x=0
We calculate terms in parentheses: -((+x^2-3x+2x-6)), so:
(+x^2-3x+2x-6)
We get rid of parentheses
x^2-3x+2x-6
We add all the numbers together, and all the variables
x^2-1x-6
Back to the equation:
-(x^2-1x-6)
We add all the numbers together, and all the variables
x^2-2x-(x^2-1x-6)=0
We get rid of parentheses
x^2-x^2-2x+1x+6=0
We add all the numbers together, and all the variables
-1x+6=0
We move all terms containing x to the left, all other terms to the right
-x=-6
x=-6/-1
x=+6

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