(10x-2)(6x-6)=0

Solution for (10x-2)(6x-6)=0 equation:

(10x-2)(6x-6)=0

We multiply parentheses ..

(+60x^2-60x-12x+12)=0

We get rid of parentheses

60x^2-60x-12x+12=0

We add all the numbers together, and all the variables

60x^2-72x+12=0

a = 60; b = -72; c = +12;
Δ = b2-4ac
Δ = -722-4·60·12
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-48}{2*60}=\frac{24}{120}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+48}{2*60}=\frac{120}{120}
=1
$