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Simplifying (w + 5)(w + 3w) = 0 Reorder the terms: (5 + w)(w + 3w) = 0 Combine like terms: w + 3w = 4w (5 + w)(4w) = 0 Remove parenthesis around (4w) (5 + w) * 4w = 0 Reorder the terms for easier multiplication: 4w(5 + w) = 0 (5 * 4w + w * 4w) = 0 (20w + 4w2) = 0 Solving 20w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(5 + w) = 0 Ignore the factor 4.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 '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 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 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Solution
w = {0, -5}
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