3X^2-9X^2+2=0

Solution for 3X^2-9X^2+2=0 equation:

Simplifying
3X2 + -9X2 + 2 = 0

Reorder the terms:
2 + 3X2 + -9X2 = 0

Combine like terms: 3X2 + -9X2 = -6X2
2 + -6X2 = 0

Solving
2 + -6X2 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2 + -6X2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6X2 = 0 + -2
-6X2 = 0 + -2

Combine like terms: 0 + -2 = -2
-6X2 = -2

Divide each side by '-6'.
X2 = 0.3333333333

Simplifying
X2 = 0.3333333333

Take the square root of each side:
X = {-0.577350269, 0.577350269}