12x^2-12x=72

Solution for 12x^2-12x=72 equation:

12x^2-12x=72

We move all terms to the left:

12x^2-12x-(72)=0

a = 12; b = -12; c = -72;
Δ = b2-4ac
Δ = -122-4·12·(-72)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-60}{2*12}=\frac{-48}{24}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+60}{2*12}=\frac{72}{24}
=3
$