99x^2=180

Solution for 99x^2=180 equation:

99x^2=180

We move all terms to the left:

99x^2-(180)=0

a = 99; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·99·(-180)
Δ = 71280
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:

$\sqrt{\Delta}=\sqrt{71280}=\sqrt{1296*55}=\sqrt{1296}*\sqrt{55}=36\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{55}}{2*99}=\frac{0-36\sqrt{55}}{198}
=-\frac{36\sqrt{55}}{198}
=-\frac{2\sqrt{55}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{55}}{2*99}=\frac{0+36\sqrt{55}}{198}
=\frac{36\sqrt{55}}{198}
=\frac{2\sqrt{55}}{11}
$