5x^2-6x^2+86=2x^2-106

Solution for 5x^2-6x^2+86=2x^2-106 equation:

5x^2-6x^2+86=2x^2-106

We move all terms to the left:

5x^2-6x^2+86-(2x^2-106)=0

We add all the numbers together, and all the variables

-1x^2-(2x^2-106)+86=0

We get rid of parentheses

-1x^2-2x^2+106+86=0

We add all the numbers together, and all the variables

-3x^2+192=0

a = -3; b = 0; c = +192;
Δ = b2-4ac
Δ = 02-4·(-3)·192
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-3}=\frac{-48}{-6}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-3}=\frac{48}{-6}
=-8
$