2(x^2-1)=10-x^2

Solution for 2(x^2-1)=10-x^2 equation:

Simplifying
2(x2 + -1) = 10 + -1x2

Reorder the terms:
2(-1 + x2) = 10 + -1x2
(-1 * 2 + x2 * 2) = 10 + -1x2
(-2 + 2x2) = 10 + -1x2

Solving
-2 + 2x2 = 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.
-2 + 2x2 + x2 = 10 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-2 + 3x2 = 10 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + 3x2 = 10 + 0
-2 + 3x2 = 10

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 10 + 2
3x2 = 10 + 2

Combine like terms: 10 + 2 = 12
3x2 = 12

Divide each side by '3'.
x2 = 4

Simplifying
x2 = 4

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