(x+4)(8x+8)=0

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Solution for (x+4)(8x+8)=0 equation:



(x+4)(8x+8)=0
We multiply parentheses ..
(+8x^2+8x+32x+32)=0
We get rid of parentheses
8x^2+8x+32x+32=0
We add all the numbers together, and all the variables
8x^2+40x+32=0
a = 8; b = 40; c = +32;
Δ = b2-4ac
Δ = 402-4·8·32
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-24}{2*8}=\frac{-64}{16} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+24}{2*8}=\frac{-16}{16} =-1 $

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