5x^2+20x=15

Solution for 5x^2+20x=15 equation:

5x^2+20x=15

We move all terms to the left:

5x^2+20x-(15)=0

a = 5; b = 20; c = -15;
Δ = b2-4ac
Δ = 202-4·5·(-15)
Δ = 700
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:

$\sqrt{\Delta}=\sqrt{700}=\sqrt{100*7}=\sqrt{100}*\sqrt{7}=10\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-10\sqrt{7}}{2*5}=\frac{-20-10\sqrt{7}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+10\sqrt{7}}{2*5}=\frac{-20+10\sqrt{7}}{10}
$