24x^2-12x=24x-12x^2

Solution for 24x^2-12x=24x-12x^2 equation:

24x^2-12x=24x-12x^2

We move all terms to the left:

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

We get rid of parentheses

24x^2+12x^2-24x-12x=0

We add all the numbers together, and all the variables

36x^2-36x=0

a = 36; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·36·0
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{-(-36)-36}{2*36}=\frac{0}{72}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*36}=\frac{72}{72}
=1
$