(6x+6)(2x-8)=0

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Solution for (6x+6)(2x-8)=0 equation:



(6x+6)(2x-8)=0
We multiply parentheses ..
(+12x^2-48x+12x-48)=0
We get rid of parentheses
12x^2-48x+12x-48=0
We add all the numbers together, and all the variables
12x^2-36x-48=0
a = 12; b = -36; c = -48;
Δ = b2-4ac
Δ = -362-4·12·(-48)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-60}{2*12}=\frac{-24}{24} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+60}{2*12}=\frac{96}{24} =4 $

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