15x^2+11x=12

Solution for 15x^2+11x=12 equation:

15x^2+11x=12

We move all terms to the left:

15x^2+11x-(12)=0

a = 15; b = 11; c = -12;
Δ = b2-4ac
Δ = 112-4·15·(-12)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-29}{2*15}=\frac{-40}{30}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+29}{2*15}=\frac{18}{30}
=3/5
$