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8x^2+34x+21=(2x+7)(4x+21)
We move all terms to the left:
8x^2+34x+21-((2x+7)(4x+21))=0
We multiply parentheses ..
8x^2-((+8x^2+42x+28x+147))+34x+21=0
We calculate terms in parentheses: -((+8x^2+42x+28x+147)), so:We add all the numbers together, and all the variables
(+8x^2+42x+28x+147)
We get rid of parentheses
8x^2+42x+28x+147
We add all the numbers together, and all the variables
8x^2+70x+147
Back to the equation:
-(8x^2+70x+147)
8x^2+34x-(8x^2+70x+147)+21=0
We get rid of parentheses
8x^2-8x^2+34x-70x-147+21=0
We add all the numbers together, and all the variables
-36x-126=0
We move all terms containing x to the left, all other terms to the right
-36x=126
x=126/-36
x=-3+1/2
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