-3x2-12x=-63

Solution for -3x2-12x=-63 equation:

-3x^2-12x=-63

We move all terms to the left:

-3x^2-12x-(-63)=0

We add all the numbers together, and all the variables

-3x^2-12x+63=0

a = -3; b = -12; c = +63;
Δ = b2-4ac
Δ = -122-4·(-3)·63
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-30}{2*-3}=\frac{-18}{-6}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+30}{2*-3}=\frac{42}{-6}
=-7
$