6=9x^2

Solution for 6=9x^2 equation:

Simplifying
6 = 9x2

Solving
6 = 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
6 + -9x2 = 9x2 + -9x2

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

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}