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(6x-3)(1-2x)+(3-4x)(2-3x)=0
We add all the numbers together, and all the variables
(6x-3)(-2x+1)+(-4x+3)(-3x+2)=0
We multiply parentheses ..
(-12x^2+6x+6x-3)+(-4x+3)(-3x+2)=0
We get rid of parentheses
-12x^2+6x+6x+(-4x+3)(-3x+2)-3=0
We multiply parentheses ..
-12x^2+(+12x^2-8x-9x+6)+6x+6x-3=0
We add all the numbers together, and all the variables
-12x^2+(+12x^2-8x-9x+6)+12x-3=0
We get rid of parentheses
-12x^2+12x^2-8x-9x+12x+6-3=0
We add all the numbers together, and all the variables
-5x+3=0
We move all terms containing x to the left, all other terms to the right
-5x=-3
x=-3/-5
x=3/5
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