56x^2=-11x+15

Solution for 56x^2=-11x+15 equation:

56x^2=-11x+15

We move all terms to the left:

56x^2-(-11x+15)=0

We get rid of parentheses

56x^2+11x-15=0

a = 56; b = 11; c = -15;
Δ = b2-4ac
Δ = 112-4·56·(-15)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-59}{2*56}=\frac{-70}{112}
=-5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+59}{2*56}=\frac{48}{112}
=3/7
$