3x(3x)-27=0

Solution for 3x(3x)-27=0 equation:

Simplifying
3x(3x) + -27 = 0

Remove parenthesis around (3x)
3x * 3x + -27 = 0

Reorder the terms for easier multiplication:
3 * 3x * x + -27 = 0

Multiply 3 * 3
9x * x + -27 = 0

Multiply x * x
9x2 + -27 = 0

Reorder the terms:
-27 + 9x2 = 0

Solving
-27 + 9x2 = 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 + 9x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 9x2 = 0 + 27
9x2 = 0 + 27

Combine like terms: 0 + 27 = 27
9x2 = 27

Divide each side by '9'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}