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

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

Simplifying
2w + -4w2 + 5w3 = 0

Solving
2w + -4w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(2 + -4w + 5w2) = 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 '(2 + -4w + 5w2)' equal to zero and attempt to solve:

Simplifying
2 + -4w + 5w2 = 0

Solving
2 + -4w + 5w2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.4 + -0.8w + w2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.8w + -0.4 + w2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.8w + w2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.8w + w2 = 0 + -0.4
-0.8w + w2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.8w + w2 = -0.4

The w term is -0.8w.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8w + 0.16 + w2 = -0.4 + 0.16

Reorder the terms:
0.16 + -0.8w + w2 = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
0.16 + -0.8w + w2 = -0.24

Factor a perfect square on the left side:
(w + -0.4)(w + -0.4) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}