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Simplifying w5 + 8w3 + 16w = 0 Reorder the terms: 16w + 8w3 + w5 = 0 Solving 16w + 8w3 + w5 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(16 + 8w2 + w4) = 0 Factor a trinomial. w((4 + w2)(4 + w2)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(4 + w2)' equal to zero and attempt to solve: Simplifying 4 + w2 = 0 Solving 4 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w2 = 0 + -4 w2 = 0 + -4 Combine like terms: 0 + -4 = -4 w2 = -4 Simplifying w2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + w2)' equal to zero and attempt to solve: Simplifying 4 + w2 = 0 Solving 4 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w2 = 0 + -4 w2 = 0 + -4 Combine like terms: 0 + -4 = -4 w2 = -4 Simplifying w2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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