3w^2=18w

Solution for 3w^2=18w equation:

Simplifying
3w2 = 18w

Solving
3w2 = 18w

Solving for variable 'w'.

Reorder the terms:
-18w + 3w2 = 18w + -18w

Combine like terms: 18w + -18w = 0
-18w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-6 + w) = 0

Ignore the factor 3.
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 '(-6 + w)' equal to zero and attempt to solve:

Simplifying
-6 + w = 0

Solving
-6 + w = 0

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

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

Combine like terms: -6 + 6 = 0
0 + w = 0 + 6
w = 0 + 6

Combine like terms: 0 + 6 = 6
w = 6

Simplifying
w = 6
Solution
w = {0, 6}