-3x(4x-2)=-54

Solution for -3x(4x-2)=-54 equation:

-3x(4x-2)=-54

We move all terms to the left:

-3x(4x-2)-(-54)=0

We add all the numbers together, and all the variables

-3x(4x-2)+54=0

We multiply parentheses

-12x^2+6x+54=0

a = -12; b = 6; c = +54;
Δ = b2-4ac
Δ = 62-4·(-12)·54
Δ = 2628
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:

$\sqrt{\Delta}=\sqrt{2628}=\sqrt{36*73}=\sqrt{36}*\sqrt{73}=6\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{73}}{2*-12}=\frac{-6-6\sqrt{73}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{73}}{2*-12}=\frac{-6+6\sqrt{73}}{-24}
$