3x^2-6=x^2-4

Solution for 3x^2-6=x^2-4 equation:

Simplifying
3x2 + -6 = x2 + -4

Reorder the terms:
-6 + 3x2 = x2 + -4

Reorder the terms:
-6 + 3x2 = -4 + x2

Solving
-6 + 3x2 = -4 + 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.
-6 + 3x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-6 + 2x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 2x2 = -4 + 0
-6 + 2x2 = -4

Add '6' to each side of the equation.
-6 + 6 + 2x2 = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = -4 + 6
2x2 = -4 + 6

Combine like terms: -4 + 6 = 2
2x2 = 2

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}