5x2+4x+8=180

Solution for 5x2+4x+8=180 equation:

5x^2+4x+8=180

We move all terms to the left:

5x^2+4x+8-(180)=0

We add all the numbers together, and all the variables

5x^2+4x-172=0

a = 5; b = 4; c = -172;
Δ = b2-4ac
Δ = 42-4·5·(-172)
Δ = 3456
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:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-24\sqrt{6}}{2*5}=\frac{-4-24\sqrt{6}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+24\sqrt{6}}{2*5}=\frac{-4+24\sqrt{6}}{10}
$