60x2-170x=30

Solution for 60x2-170x=30 equation:

60x^2-170x=30

We move all terms to the left:

60x^2-170x-(30)=0

a = 60; b = -170; c = -30;
Δ = b2-4ac
Δ = -1702-4·60·(-30)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-190}{2*60}=\frac{-20}{120}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+190}{2*60}=\frac{360}{120}
=3
$