8x^2-60x=-72

Solution for 8x^2-60x=-72 equation:

8x^2-60x=-72

We move all terms to the left:

8x^2-60x-(-72)=0

We add all the numbers together, and all the variables

8x^2-60x+72=0

a = 8; b = -60; c = +72;
Δ = b2-4ac
Δ = -602-4·8·72
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*8}=\frac{24}{16}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+36}{2*8}=\frac{96}{16}
=6
$