2(3x)=2x(x)

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

Simplifying
2(3x) = 2x(x)

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

Multiply 2 * 3
6x = 2x(x)

Multiply x * x
6x = 2x2

Solving
6x = 2x2

Solving for variable 'x'.

Combine like terms: 2x2 + -2x2 = 0
6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + -1x) = 0

Ignore the factor 2.
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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 3}