0=5x^2-37x-72

Solution for 0=5x^2-37x-72 equation:

0=5x^2-37x-72

We move all terms to the left:

0-(5x^2-37x-72)=0

We add all the numbers together, and all the variables

-(5x^2-37x-72)=0

We get rid of parentheses

-5x^2+37x+72=0

a = -5; b = 37; c = +72;
Δ = b2-4ac
Δ = 372-4·(-5)·72
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-53}{2*-5}=\frac{-90}{-10}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+53}{2*-5}=\frac{16}{-10}
=-1+3/5
$