17-12x^2+15x=15

Solution for 17-12x^2+15x=15 equation:

17-12x^2+15x=15

We move all terms to the left:

17-12x^2+15x-(15)=0

We add all the numbers together, and all the variables

-12x^2+15x+2=0

a = -12; b = 15; c = +2;
Δ = b2-4ac
Δ = 152-4·(-12)·2
Δ = 321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{321}}{2*-12}=\frac{-15-\sqrt{321}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{321}}{2*-12}=\frac{-15+\sqrt{321}}{-24}
$