-10x^2+180=0

Solution for -10x^2+180=0 equation:

-10x^2+180=0

a = -10; b = 0; c = +180;
Δ = b2-4ac
Δ = 02-4·(-10)·180
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*-10}=\frac{0-60\sqrt{2}}{-20}
=-\frac{60\sqrt{2}}{-20}
=-\frac{3\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*-10}=\frac{0+60\sqrt{2}}{-20}
=\frac{60\sqrt{2}}{-20}
=\frac{3\sqrt{2}}{-1}
$