4w^3+w^2-5w=

Solution for 4w^3+w^2-5w= equation:

Simplifying
4w3 + w2 + -5w = 0

Reorder the terms:
-5w + w2 + 4w3 = 0

Solving
-5w + w2 + 4w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-5 + w + 4w2) = 0

Factor a trinomial.
w((-5 + -4w)(1 + -1w)) = 0

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 + -4w)' equal to zero and attempt to solve:

Simplifying
-5 + -4w = 0

Solving
-5 + -4w = 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 + -4w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4w = 0 + 5
-4w = 0 + 5

Combine like terms: 0 + 5 = 5
-4w = 5

Divide each side by '-4'.
w = -1.25

Simplifying
w = -1.25
Subproblem 3
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

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

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

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

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

Simplifying
w = 1
Solution
w = {0, -1.25, 1}