6x*6x-27=0

Solution for 6x*6x-27=0 equation:

Simplifying
6x * 6x + -27 = 0

Reorder the terms for easier multiplication:
6 * 6x * x + -27 = 0

Multiply 6 * 6
36x * x + -27 = 0

Multiply x * x
36x2 + -27 = 0

Reorder the terms:
-27 + 36x2 = 0

Solving
-27 + 36x2 = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 36x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 36x2 = 0 + 27
36x2 = 0 + 27

Combine like terms: 0 + 27 = 27
36x2 = 27

Divide each side by '36'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}