2x^2+8x-2=180

Solution for 2x^2+8x-2=180 equation:

2x^2+8x-2=180

We move all terms to the left:

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

We add all the numbers together, and all the variables

2x^2+8x-182=0

a = 2; b = 8; c = -182;
Δ = b2-4ac
Δ = 82-4·2·(-182)
Δ = 1520
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:

$\sqrt{\Delta}=\sqrt{1520}=\sqrt{16*95}=\sqrt{16}*\sqrt{95}=4\sqrt{95}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{95}}{2*2}=\frac{-8-4\sqrt{95}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{95}}{2*2}=\frac{-8+4\sqrt{95}}{4}
$