6x(2-2x)=-18

Solution for 6x(2-2x)=-18 equation:

6x(2-2x)=-18

We move all terms to the left:

6x(2-2x)-(-18)=0

We add all the numbers together, and all the variables

6x(-2x+2)-(-18)=0

We add all the numbers together, and all the variables

6x(-2x+2)+18=0

We multiply parentheses

-12x^2+12x+18=0

a = -12; b = 12; c = +18;
Δ = b2-4ac
Δ = 122-4·(-12)·18
Δ = 1008
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:

$\sqrt{\Delta}=\sqrt{1008}=\sqrt{144*7}=\sqrt{144}*\sqrt{7}=12\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{7}}{2*-12}=\frac{-12-12\sqrt{7}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{7}}{2*-12}=\frac{-12+12\sqrt{7}}{-24}
$