(2x-3)(3x-5)=6x^2-x

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Solution for (2x-3)(3x-5)=6x^2-x equation:



(2x-3)(3x-5)=6x^2-x
We move all terms to the left:
(2x-3)(3x-5)-(6x^2-x)=0
We get rid of parentheses
-6x^2+(2x-3)(3x-5)+x=0
We multiply parentheses ..
-6x^2+(+6x^2-10x-9x+15)+x=0
We get rid of parentheses
-6x^2+6x^2-10x-9x+x+15=0
We add all the numbers together, and all the variables
-18x+15=0
We move all terms containing x to the left, all other terms to the right
-18x=-15
x=-15/-18
x=5/6

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