5=9x^2-6

Solution for 5=9x^2-6 equation:

Simplifying
5 = 9x2 + -6

Reorder the terms:
5 = -6 + 9x2

Solving
5 = -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.
5 + -9x2 = -6 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
5 + -9x2 = -6 + 0
5 + -9x2 = -6

Add '-5' to each side of the equation.
5 + -5 + -9x2 = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -9x2 = -6 + -5
-9x2 = -6 + -5

Combine like terms: -6 + -5 = -11
-9x2 = -11

Divide each side by '-9'.
x2 = 1.222222222

Simplifying
x2 = 1.222222222

Take the square root of each side:
x = {-1.105541597, 1.105541597}