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

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

Simplifying
x2 + -6x2 + 3 = 0

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

Combine like terms: x2 + -6x2 = -5x2
3 + -5x2 = 0

Solving
3 + -5x2 = 0

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 + -5x2 = 0 + -3

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

Combine like terms: 0 + -3 = -3
-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}