x^2+3(x^2-1)=6

Solution for x^2+3(x^2-1)=6 equation:

Simplifying
x2 + 3(x2 + -1) = 6

Reorder the terms:
x2 + 3(-1 + x2) = 6
x2 + (-1 * 3 + x2 * 3) = 6
x2 + (-3 + 3x2) = 6

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

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

Solving
-3 + 4x2 = 6

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x2 = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 4x2 = 6 + 3
4x2 = 6 + 3

Combine like terms: 6 + 3 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}