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Simplifying 42w2 + 80w = 0 Reorder the terms: 80w + 42w2 = 0 Solving 80w + 42w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(40 + 21w) = 0 Ignore the factor 2.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 '(40 + 21w)' equal to zero and attempt to solve: Simplifying 40 + 21w = 0 Solving 40 + 21w = 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 + 21w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 21w = 0 + -40 21w = 0 + -40 Combine like terms: 0 + -40 = -40 21w = -40 Divide each side by '21'. w = -1.904761905 Simplifying w = -1.904761905Solution
w = {0, -1.904761905}
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