0=-16x^2+137x+60

Solution for 0=-16x^2+137x+60 equation:

0=-16x^2+137x+60

We move all terms to the left:

0-(-16x^2+137x+60)=0

We add all the numbers together, and all the variables

-(-16x^2+137x+60)=0

We get rid of parentheses

16x^2-137x-60=0

a = 16; b = -137; c = -60;
Δ = b2-4ac
Δ = -1372-4·16·(-60)
Δ = 22609
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{-(-137)-\sqrt{22609}}{2*16}=\frac{137-\sqrt{22609}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-137)+\sqrt{22609}}{2*16}=\frac{137+\sqrt{22609}}{32}
$