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Simplifying w(w + -4w + 5) = 0 Reorder the terms: w(5 + w + -4w) = 0 Combine like terms: w + -4w = -3w w(5 + -3w) = 0 (5 * w + -3w * w) = 0 (5w + -3w2) = 0 Solving 5w + -3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(5 + -3w) = 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 '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667Solution
w = {0, 1.666666667}
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