21w^2=7w

Solution for 21w^2=7w equation:

Simplifying
21w2 = 7w

Solving
21w2 = 7w

Solving for variable 'w'.

Reorder the terms:
-7w + 21w2 = 7w + -7w

Combine like terms: 7w + -7w = 0
-7w + 21w2 = 0

Factor out the Greatest Common Factor (GCF), '7w'.
7w(-1 + 3w) = 0

Ignore the factor 7.
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 + 3w)' equal to zero and attempt to solve:

Simplifying
-1 + 3w = 0

Solving
-1 + 3w = 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 + 3w = 0 + 1

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

Combine like terms: 0 + 1 = 1
3w = 1

Divide each side by '3'.
w = 0.3333333333

Simplifying
w = 0.3333333333
Solution
w = {0, 0.3333333333}