9x2-3x=180

Solution for 9x2-3x=180 equation:

9x^2-3x=180

We move all terms to the left:

9x^2-3x-(180)=0

a = 9; b = -3; c = -180;
Δ = b2-4ac
Δ = -32-4·9·(-180)
Δ = 6489
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:

$\sqrt{\Delta}=\sqrt{6489}=\sqrt{9*721}=\sqrt{9}*\sqrt{721}=3\sqrt{721}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3\sqrt{721}}{2*9}=\frac{3-3\sqrt{721}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3\sqrt{721}}{2*9}=\frac{3+3\sqrt{721}}{18}
$