(6x-6)(5x+1)=0

Solution for (6x-6)(5x+1)=0 equation:

(6x-6)(5x+1)=0

We multiply parentheses ..

(+30x^2+6x-30x-6)=0

We get rid of parentheses

30x^2+6x-30x-6=0

We add all the numbers together, and all the variables

30x^2-24x-6=0

a = 30; b = -24; c = -6;
Δ = b2-4ac
Δ = -242-4·30·(-6)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-36}{2*30}=\frac{-12}{60}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+36}{2*30}=\frac{60}{60}
=1
$