10w^3=250w

Solution for 10w^3=250w equation:

Simplifying
10w3 = 250w

Solving
10w3 = 250w

Solving for variable 'w'.

Reorder the terms:
-250w + 10w3 = 250w + -250w

Combine like terms: 250w + -250w = 0
-250w + 10w3 = 0

Factor out the Greatest Common Factor (GCF), '10w'.
10w(-25 + w2) = 0

Factor a difference between two squares.
10w((5 + w)(-5 + w)) = 0

Ignore the factor 10.
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 '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

Add '-5' to each side of the equation.
5 + -5 + w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5
Subproblem 3
Set the factor '(-5 + w)' equal to zero and attempt to solve:

Simplifying
-5 + w = 0

Solving
-5 + w = 0

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

Add '5' to each side of the equation.
-5 + 5 + w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + w = 0 + 5
w = 0 + 5

Combine like terms: 0 + 5 = 5
w = 5

Simplifying
w = 5
Solution
w = {0, -5, 5}