12=2x(6x-6)

Solution for 12=2x(6x-6) equation:

12=2x(6x-6)

We move all terms to the left:

12-(2x(6x-6))=0


We calculate terms in parentheses: -(2x(6x-6)), so:

2x(6x-6)

We multiply parentheses

12x^2-12x

Back to the equation:

-(12x^2-12x)


We get rid of parentheses

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

a = -12; b = 12; c = +12;
Δ = b2-4ac
Δ = 122-4·(-12)·12
Δ = 720
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{5}}{2*-12}=\frac{-12-12\sqrt{5}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{5}}{2*-12}=\frac{-12+12\sqrt{5}}{-24}
$