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Simplifying 15w3 + 6w = 0 Reorder the terms: 6w + 15w3 = 0 Solving 6w + 15w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(2 + 5w2) = 0 Ignore the factor 3.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 = 0Subproblem 2
Set the factor '(2 + 5w2)' equal to zero and attempt to solve: Simplifying 2 + 5w2 = 0 Solving 2 + 5w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5w2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w2 = 0 + -2 5w2 = 0 + -2 Combine like terms: 0 + -2 = -2 5w2 = -2 Divide each side by '5'. w2 = -0.4 Simplifying w2 = -0.4 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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