6x^2-1=3-3x^2

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 6x2 + 3x2 = 9x2
-1 + 9x2 = 3 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1 + 9x2 = 3 + 0
-1 + 9x2 = 3

Add '1' to each side of the equation.
-1 + 1 + 9x2 = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 9x2 = 3 + 1
9x2 = 3 + 1

Combine like terms: 3 + 1 = 4
9x2 = 4

Divide each side by '9'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}