(7x-6)(4x+4)=0

Solution for (7x-6)(4x+4)=0 equation:

(7x-6)(4x+4)=0

We multiply parentheses ..

(+28x^2+28x-24x-24)=0

We get rid of parentheses

28x^2+28x-24x-24=0

We add all the numbers together, and all the variables

28x^2+4x-24=0

a = 28; b = 4; c = -24;
Δ = b2-4ac
Δ = 42-4·28·(-24)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-52}{2*28}=\frac{-56}{56}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+52}{2*28}=\frac{48}{56}
=6/7
$