(2x+3)(2x-3)=2x(2x+6)

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



(2x+3)(2x-3)=2x(2x+6)
We move all terms to the left:
(2x+3)(2x-3)-(2x(2x+6))=0
We use the square of the difference formula
4x^2-(2x(2x+6))-9=0
We calculate terms in parentheses: -(2x(2x+6)), so:
2x(2x+6)
We multiply parentheses
4x^2+12x
Back to the equation:
-(4x^2+12x)
We get rid of parentheses
4x^2-4x^2-12x-9=0
We add all the numbers together, and all the variables
-12x-9=0
We move all terms containing x to the left, all other terms to the right
-12x=9
x=9/-12
x=-3/4

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