(2x+4)(2x+7)=3(2x+4)

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Solution for (2x+4)(2x+7)=3(2x+4) equation:



(2x+4)(2x+7)=3(2x+4)
We move all terms to the left:
(2x+4)(2x+7)-(3(2x+4))=0
We multiply parentheses ..
(+4x^2+14x+8x+28)-(3(2x+4))=0
We calculate terms in parentheses: -(3(2x+4)), so:
3(2x+4)
We multiply parentheses
6x+12
Back to the equation:
-(6x+12)
We get rid of parentheses
4x^2+14x+8x-6x+28-12=0
We add all the numbers together, and all the variables
4x^2+16x+16=0
a = 4; b = 16; c = +16;
Δ = b2-4ac
Δ = 162-4·4·16
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-16}{8}=-2$

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