3x^2-6x^2+6=0

Solution for 3x^2-6x^2+6=0 equation:

Simplifying
3x2 + -6x2 + 6 = 0

Reorder the terms:
6 + 3x2 + -6x2 = 0

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

Solving
6 + -3x2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -3x2 = 0 + -6

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

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

Divide each side by '-3'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}