-30x-63=3x^2

Solution for -30x-63=3x^2 equation:

-30x-63=3x^2

We move all terms to the left:

-30x-63-(3x^2)=0

determiningTheFunctionDomain
-3x^2-30x-63=0

a = -3; b = -30; c = -63;
Δ = b2-4ac
Δ = -302-4·(-3)·(-63)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-12}{2*-3}=\frac{18}{-6}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+12}{2*-3}=\frac{42}{-6}
=-7
$