30x2-5x=5

Solution for 30x2-5x=5 equation:

30x^2-5x=5

We move all terms to the left:

30x^2-5x-(5)=0

a = 30; b = -5; c = -5;
Δ = b2-4ac
Δ = -52-4·30·(-5)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-25}{2*30}=\frac{-20}{60}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+25}{2*30}=\frac{30}{60}
=1/2
$