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Simplifying 25w3 + 64w = -80w2 Reorder the terms: 64w + 25w3 = -80w2 Solving 64w + 25w3 = -80w2 Solving for variable 'w'. Reorder the terms: 64w + 80w2 + 25w3 = -80w2 + 80w2 Combine like terms: -80w2 + 80w2 = 0 64w + 80w2 + 25w3 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(64 + 80w + 25w2) = 0 Factor a trinomial. w((8 + 5w)(8 + 5w)) = 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 '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Subproblem 3
Set the factor '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Solution
w = {0, -1.6, -1.6}
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