-5x^2=-53x+72

Solution for -5x^2=-53x+72 equation:

-5x^2=-53x+72

We move all terms to the left:

-5x^2-(-53x+72)=0

We get rid of parentheses

-5x^2+53x-72=0

a = -5; b = 53; c = -72;
Δ = b2-4ac
Δ = 532-4·(-5)·(-72)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(53)-37}{2*-5}=\frac{-90}{-10}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53)+37}{2*-5}=\frac{-16}{-10}
=1+3/5
$