0=9*x^2-60*x+64

Solution for 0=9*x^2-60*x+64 equation:

0=9x^2-60x+64

We move all terms to the left:

0-(9x^2-60x+64)=0

We add all the numbers together, and all the variables

-(9x^2-60x+64)=0

We get rid of parentheses

-9x^2+60x-64=0

a = -9; b = 60; c = -64;
Δ = b2-4ac
Δ = 602-4·(-9)·(-64)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-36}{2*-9}=\frac{-96}{-18}
=5+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+36}{2*-9}=\frac{-24}{-18}
=1+1/3
$