15x2+16x=15

Solution for 15x2+16x=15 equation:

15x^2+16x=15

We move all terms to the left:

15x^2+16x-(15)=0

a = 15; b = 16; c = -15;
Δ = b2-4ac
Δ = 162-4·15·(-15)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-34}{2*15}=\frac{-50}{30}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+34}{2*15}=\frac{18}{30}
=3/5
$