-2-10x^2=-188

Solution for -2-10x^2=-188 equation:

-2-10x^2=-188

We move all terms to the left:

-2-10x^2-(-188)=0

We add all the numbers together, and all the variables

-10x^2+186=0

a = -10; b = 0; c = +186;
Δ = b2-4ac
Δ = 02-4·(-10)·186
Δ = 7440
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:

$\sqrt{\Delta}=\sqrt{7440}=\sqrt{16*465}=\sqrt{16}*\sqrt{465}=4\sqrt{465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{465}}{2*-10}=\frac{0-4\sqrt{465}}{-20}
=-\frac{4\sqrt{465}}{-20}
=-\frac{\sqrt{465}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{465}}{2*-10}=\frac{0+4\sqrt{465}}{-20}
=\frac{4\sqrt{465}}{-20}
=\frac{\sqrt{465}}{-5}
$