5x2+15=180

Solution for 5x2+15=180 equation:

5x^2+15=180

We move all terms to the left:

5x^2+15-(180)=0

We add all the numbers together, and all the variables

5x^2-165=0

a = 5; b = 0; c = -165;
Δ = b2-4ac
Δ = 02-4·5·(-165)
Δ = 3300
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:

$\sqrt{\Delta}=\sqrt{3300}=\sqrt{100*33}=\sqrt{100}*\sqrt{33}=10\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{33}}{2*5}=\frac{0-10\sqrt{33}}{10}
=-\frac{10\sqrt{33}}{10}
=-\sqrt{33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{33}}{2*5}=\frac{0+10\sqrt{33}}{10}
=\frac{10\sqrt{33}}{10}
=\sqrt{33}
$