5x^2+5x=30

Solution for 5x^2+5x=30 equation:

5x^2+5x=30

We move all terms to the left:

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

a = 5; b = 5; c = -30;
Δ = b2-4ac
Δ = 52-4·5·(-30)
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*5}=\frac{-30}{10}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+25}{2*5}=\frac{20}{10}
=2
$