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Simplifying w2 + 40w = 0 Reorder the terms: 40w + w2 = 0 Solving 40w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(40 + w) = 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 '(40 + w)' equal to zero and attempt to solve: Simplifying 40 + w = 0 Solving 40 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + w = 0 + -40 w = 0 + -40 Combine like terms: 0 + -40 = -40 w = -40 Simplifying w = -40Solution
w = {0, -40}
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