-5-3x^2=-110

Solution for -5-3x^2=-110 equation:

-5-3x^2=-110

We move all terms to the left:

-5-3x^2-(-110)=0

We add all the numbers together, and all the variables

-3x^2+105=0

a = -3; b = 0; c = +105;
Δ = b2-4ac
Δ = 02-4·(-3)·105
Δ = 1260
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:

$\sqrt{\Delta}=\sqrt{1260}=\sqrt{36*35}=\sqrt{36}*\sqrt{35}=6\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{35}}{2*-3}=\frac{0-6\sqrt{35}}{-6}
=-\frac{6\sqrt{35}}{-6}
=-\frac{\sqrt{35}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{35}}{2*-3}=\frac{0+6\sqrt{35}}{-6}
=\frac{6\sqrt{35}}{-6}
=\frac{\sqrt{35}}{-1}
$