(7x-6)(8x+8)=0

Solution for (7x-6)(8x+8)=0 equation:

(7x-6)(8x+8)=0

We multiply parentheses ..

(+56x^2+56x-48x-48)=0

We get rid of parentheses

56x^2+56x-48x-48=0

We add all the numbers together, and all the variables

56x^2+8x-48=0

a = 56; b = 8; c = -48;
Δ = b2-4ac
Δ = 82-4·56·(-48)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-104}{2*56}=\frac{-112}{112}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+104}{2*56}=\frac{96}{112}
=6/7
$