60=8x2+157x

Solution for 60=8x2+157x equation:

60=8x^2+157x

We move all terms to the left:

60-(8x^2+157x)=0

We get rid of parentheses

-8x^2-157x+60=0

a = -8; b = -157; c = +60;
Δ = b2-4ac
Δ = -1572-4·(-8)·60
Δ = 26569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26569}=163$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-157)-163}{2*-8}=\frac{-6}{-16}
=3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-157)+163}{2*-8}=\frac{320}{-16}
=-20
$