(x)(2x)-9=27

Solution for (x)(2x)-9=27 equation:

Simplifying
(x)(2x) + -9 = 27

Remove parenthesis around (2x)
x * 2x + -9 = 27

Reorder the terms for easier multiplication:
2x * x + -9 = 27

Multiply x * x
2x2 + -9 = 27

Reorder the terms:
-9 + 2x2 = 27

Solving
-9 + 2x2 = 27

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x2 = 27 + 9

Combine like terms: -9 + 9 = 0
0 + 2x2 = 27 + 9
2x2 = 27 + 9

Combine like terms: 27 + 9 = 36
2x2 = 36

Divide each side by '2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}