24x^2-12=12(3x^2-1)

Solution for 24x^2-12=12(3x^2-1) equation:

Simplifying
24x2 + -12 = 12(3x2 + -1)

Reorder the terms:
-12 + 24x2 = 12(3x2 + -1)

Reorder the terms:
-12 + 24x2 = 12(-1 + 3x2)
-12 + 24x2 = (-1 * 12 + 3x2 * 12)
-12 + 24x2 = (-12 + 36x2)

Add '12' to each side of the equation.
-12 + 12 + 24x2 = -12 + 12 + 36x2

Combine like terms: -12 + 12 = 0
0 + 24x2 = -12 + 12 + 36x2
24x2 = -12 + 12 + 36x2

Combine like terms: -12 + 12 = 0
24x2 = 0 + 36x2
24x2 = 36x2

Solving
24x2 = 36x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36x2' to each side of the equation.
24x2 + -36x2 = 36x2 + -36x2

Combine like terms: 24x2 + -36x2 = -12x2
-12x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-12x2 = 0

Divide each side by '-12'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}