60=80x2+157x

Solution for 60=80x2+157x equation:

60=80x^2+157x

We move all terms to the left:

60-(80x^2+157x)=0

We get rid of parentheses

-80x^2-157x+60=0

a = -80; b = -157; c = +60;
Δ = b2-4ac
Δ = -1572-4·(-80)·60
Δ = 43849
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{-(-157)-\sqrt{43849}}{2*-80}=\frac{157-\sqrt{43849}}{-160}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-157)+\sqrt{43849}}{2*-80}=\frac{157+\sqrt{43849}}{-160}
$