w^5+w^4=0

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Solution for w^5+w^4=0 equation:


Simplifying
w5 + w4 = 0

Reorder the terms:
w4 + w5 = 0

Solving
w4 + w5 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w4'.
w4(1 + w) = 0

Subproblem 1

Set the factor 'w4' equal to zero and attempt to solve: Simplifying w4 = 0 Solving w4 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1

Solution

w = {-1}

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