30x^2-150x=180

Solution for 30x^2-150x=180 equation:

30x^2-150x=180

We move all terms to the left:

30x^2-150x-(180)=0

a = 30; b = -150; c = -180;
Δ = b2-4ac
Δ = -1502-4·30·(-180)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-210}{2*30}=\frac{-60}{60}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+210}{2*30}=\frac{360}{60}
=6
$