3x*3x-6=0

Solution for 3x*3x-6=0 equation:

Simplifying
3x * 3x + -6 = 0

Reorder the terms for easier multiplication:
3 * 3x * x + -6 = 0

Multiply 3 * 3
9x * x + -6 = 0

Multiply x * x
9x2 + -6 = 0

Reorder the terms:
-6 + 9x2 = 0

Solving
-6 + 9x2 = 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 + 9x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 9x2 = 0 + 6
9x2 = 0 + 6

Combine like terms: 0 + 6 = 6
9x2 = 6

Divide each side by '9'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}