(x-1)(2x+1)=(x+3)(2x+3)-14

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Solution for (x-1)(2x+1)=(x+3)(2x+3)-14 equation:



(x-1)(2x+1)=(x+3)(2x+3)-14
We move all terms to the left:
(x-1)(2x+1)-((x+3)(2x+3)-14)=0
We multiply parentheses ..
(+2x^2+x-2x-1)-((x+3)(2x+3)-14)=0
We calculate terms in parentheses: -((x+3)(2x+3)-14), so:
(x+3)(2x+3)-14
We multiply parentheses ..
(+2x^2+3x+6x+9)-14
We get rid of parentheses
2x^2+3x+6x+9-14
We add all the numbers together, and all the variables
2x^2+9x-5
Back to the equation:
-(2x^2+9x-5)
We get rid of parentheses
2x^2-2x^2+x-2x-9x-1+5=0
We add all the numbers together, and all the variables
-10x+4=0
We move all terms containing x to the left, all other terms to the right
-10x=-4
x=-4/-10
x=2/5

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