3X^2-2=X^2+6

Solution for 3X^2-2=X^2+6 equation:

Simplifying
3X2 + -2 = X2 + 6

Reorder the terms:
-2 + 3X2 = X2 + 6

Reorder the terms:
-2 + 3X2 = 6 + X2

Solving
-2 + 3X2 = 6 + 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.
-2 + 3X2 + -1X2 = 6 + X2 + -1X2

Combine like terms: 3X2 + -1X2 = 2X2
-2 + 2X2 = 6 + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-2 + 2X2 = 6 + 0
-2 + 2X2 = 6

Add '2' to each side of the equation.
-2 + 2 + 2X2 = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 2X2 = 6 + 2
2X2 = 6 + 2

Combine like terms: 6 + 2 = 8
2X2 = 8

Divide each side by '2'.
X2 = 4

Simplifying
X2 = 4

Take the square root of each side:
X = {-2, 2}