6x^2=x^2+3

Solution for 6x^2=x^2+3 equation:

Simplifying
6x2 = x2 + 3

Reorder the terms:
6x2 = 3 + x2

Solving
6x2 = 3 + x2

Solving for variable 'x'.

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

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

Combine like terms: 6x2 + -1x2 = 5x2
5x2 = 3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x2 = 3 + 0
5x2 = 3

Divide each side by '5'.
x2 = 0.6

Simplifying
x2 = 0.6

Take the square root of each side:
x = {-0.774596669, 0.774596669}