5x2+30x=125

Solution for 5x2+30x=125 equation:

5x^2+30x=125

We move all terms to the left:

5x^2+30x-(125)=0

a = 5; b = 30; c = -125;
Δ = b2-4ac
Δ = 302-4·5·(-125)
Δ = 3400
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:

$\sqrt{\Delta}=\sqrt{3400}=\sqrt{100*34}=\sqrt{100}*\sqrt{34}=10\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10\sqrt{34}}{2*5}=\frac{-30-10\sqrt{34}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10\sqrt{34}}{2*5}=\frac{-30+10\sqrt{34}}{10}
$