54=(3x)(2x)

Solution for 54=(3x)(2x) equation:

Simplifying
54 = (3x)(2x)

Remove parenthesis around (3x)
54 = 3x(2x)

Remove parenthesis around (2x)
54 = 3x * 2x

Reorder the terms for easier multiplication:
54 = 3 * 2x * x

Multiply 3 * 2
54 = 6x * x

Multiply x * x
54 = 6x2

Solving
54 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
54 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
54 + -6x2 = 0

Add '-54' to each side of the equation.
54 + -54 + -6x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -6x2 = 0 + -54
-6x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-6x2 = -54

Divide each side by '-6'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}