2x(5x+2)=180

Solution for 2x(5x+2)=180 equation:

2x(5x+2)=180

We move all terms to the left:

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

We multiply parentheses

10x^2+4x-180=0

a = 10; b = 4; c = -180;
Δ = b2-4ac
Δ = 42-4·10·(-180)
Δ = 7216
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:

$\sqrt{\Delta}=\sqrt{7216}=\sqrt{16*451}=\sqrt{16}*\sqrt{451}=4\sqrt{451}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{451}}{2*10}=\frac{-4-4\sqrt{451}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{451}}{2*10}=\frac{-4+4\sqrt{451}}{20}
$