(2x)(6)=(x)(x)

Solution for (2x)(6)=(x)(x) equation:

Simplifying
(2x)(6) = (x)(x)

Remove parenthesis around (2x)
2x(6) = (x)(x)

Reorder the terms for easier multiplication:
2 * 6x = (x)(x)

Multiply 2 * 6
12x = (x)(x)

Multiply x * x
12x = x2

Solving
12x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + -1x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0, 12}