-6x(x=7)=-12

Solution for -6x(x=7)=-12 equation:

-6x(x=7)=-12

We move all terms to the left:

-6x(x-(7))=0

We multiply parentheses

-6x^2+42x=0

a = -6; b = 42; c = 0;
Δ = b2-4ac
Δ = 422-4·(-6)·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-42}{2*-6}=\frac{-84}{-12}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+42}{2*-6}=\frac{0}{-12}
=0
$