(x-2)(2x+7)=2x2-3x

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Solution for (x-2)(2x+7)=2x2-3x equation: 



(x-2)(2x+7)=2x^2-3x

We move all terms to the left:

(x-2)(2x+7)-(2x^2-3x)=0

We get rid of parentheses

-2x^2+(x-2)(2x+7)+3x=0

We multiply parentheses ..

-2x^2+(+2x^2+7x-4x-14)+3x=0

We get rid of parentheses

-2x^2+2x^2+7x-4x+3x-14=0

We add all the numbers together, and all the variables

6x-14=0

We move all terms containing x to the left, all other terms to the right

6x=14

x=14/6

x=2+1/3

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