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Simplifying 65w2 + 40w = 0 Reorder the terms: 40w + 65w2 = 0 Solving 40w + 65w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(8 + 13w) = 0 Ignore the factor 5.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 '(8 + 13w)' equal to zero and attempt to solve: Simplifying 8 + 13w = 0 Solving 8 + 13w = 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 + 13w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13w = 0 + -8 13w = 0 + -8 Combine like terms: 0 + -8 = -8 13w = -8 Divide each side by '13'. w = -0.6153846154 Simplifying w = -0.6153846154Solution
w = {0, -0.6153846154}
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