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

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

Simplifying
2(2x2 + -12) = x2 + 24

Reorder the terms:
2(-12 + 2x2) = x2 + 24
(-12 * 2 + 2x2 * 2) = x2 + 24
(-24 + 4x2) = x2 + 24

Reorder the terms:
-24 + 4x2 = 24 + x2

Solving
-24 + 4x2 = 24 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-24 + 4x2 + -1x2 = 24 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-24 + 3x2 = 24 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 3x2 = 24 + 0
-24 + 3x2 = 24

Add '24' to each side of the equation.
-24 + 24 + 3x2 = 24 + 24

Combine like terms: -24 + 24 = 0
0 + 3x2 = 24 + 24
3x2 = 24 + 24

Combine like terms: 24 + 24 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}