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(2x+1)^2=(2x-3)(x+5)-3
We move all terms to the left:
(2x+1)^2-((2x-3)(x+5)-3)=0
We multiply parentheses ..
-((+2x^2+10x-3x-15)-3)+(2x+1)^2=0
We calculate terms in parentheses: -((+2x^2+10x-3x-15)-3), so:We get rid of parentheses
(+2x^2+10x-3x-15)-3
We get rid of parentheses
2x^2+10x-3x-15-3
We add all the numbers together, and all the variables
2x^2+7x-18
Back to the equation:
-(2x^2+7x-18)
-2x^2-7x+(2x+1)^2+18=0
We move all terms containing x to the left, all other terms to the right
-2x^2-7x+(2x+1)^2=-18
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