x^2-3=-3x^2

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

Simplifying
x2 + -3 = -3x2

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

Solving
-3 + x2 = -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.
-3 + x2 + 3x2 = -3x2 + 3x2

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

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

Add '3' to each side of the equation.
-3 + 3 + 4x2 = 0 + 3

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

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

Divide each side by '4'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}