3x^2-6=10-x^2

Solution for 3x^2-6=10-x^2 equation:

Simplifying
3x2 + -6 = 10 + -1x2

Reorder the terms:
-6 + 3x2 = 10 + -1x2

Solving
-6 + 3x2 = 10 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-6 + 3x2 + x2 = 10 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
-6 + 4x2 = 10 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + 4x2 = 10 + 0
-6 + 4x2 = 10

Add '6' to each side of the equation.
-6 + 6 + 4x2 = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = 10 + 6
4x2 = 10 + 6

Combine like terms: 10 + 6 = 16
4x2 = 16

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

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