3xw*4w=12w

Solution for 3xw*4w=12w equation:

Simplifying
3xw * 4w = 12w

Reorder the terms for easier multiplication:
3 * 4wx * w = 12w

Multiply 3 * 4
12wx * w = 12w

Multiply wx * w
12w2x = 12w

Solving
12w2x = 12w

Solving for variable 'w'.

Reorder the terms:
-12w + 12w2x = 12w + -12w

Combine like terms: 12w + -12w = 0
-12w + 12w2x = 0

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

Ignore the factor 12.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

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

Simplifying
-1 + wx = 0

Solving
-1 + wx = 0

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

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

Combine like terms: -1 + 1 = 0
0 + wx = 0 + 1
wx = 0 + 1

Combine like terms: 0 + 1 = 1
wx = 1

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

Simplifying
w = x-1
Solution
w = {0, x-1}