(6x-6)(9x+4)=0

Solution for (6x-6)(9x+4)=0 equation:

(6x-6)(9x+4)=0

We multiply parentheses ..

(+54x^2+24x-54x-24)=0

We get rid of parentheses

54x^2+24x-54x-24=0

We add all the numbers together, and all the variables

54x^2-30x-24=0

a = 54; b = -30; c = -24;
Δ = b2-4ac
Δ = -302-4·54·(-24)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-78}{2*54}=\frac{-48}{108}
=-4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+78}{2*54}=\frac{108}{108}
=1
$