15x^2+95x=115

Solution for 15x^2+95x=115 equation:

15x^2+95x=115

We move all terms to the left:

15x^2+95x-(115)=0

a = 15; b = 95; c = -115;
Δ = b2-4ac
Δ = 952-4·15·(-115)
Δ = 15925
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:

$\sqrt{\Delta}=\sqrt{15925}=\sqrt{1225*13}=\sqrt{1225}*\sqrt{13}=35\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(95)-35\sqrt{13}}{2*15}=\frac{-95-35\sqrt{13}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+35\sqrt{13}}{2*15}=\frac{-95+35\sqrt{13}}{30}
$