24x2-12x=36

Solution for 24x2-12x=36 equation:

24x^2-12x=36

We move all terms to the left:

24x^2-12x-(36)=0

a = 24; b = -12; c = -36;
Δ = b2-4ac
Δ = -122-4·24·(-36)
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*24}=\frac{-48}{48}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+60}{2*24}=\frac{72}{48}
=1+1/2
$