3x^2-4=x^2+8

Solution for 3x^2-4=x^2+8 equation:

Simplifying
3x2 + -4 = x2 + 8

Reorder the terms:
-4 + 3x2 = x2 + 8

Reorder the terms:
-4 + 3x2 = 8 + x2

Solving
-4 + 3x2 = 8 + 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.
-4 + 3x2 + -1x2 = 8 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-4 + 2x2 = 8 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 2x2 = 8 + 0
-4 + 2x2 = 8

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 8 + 4
2x2 = 8 + 4

Combine like terms: 8 + 4 = 12
2x2 = 12

Divide each side by '2'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}