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Simplifying w2 + 48w = 0 Reorder the terms: 48w + w2 = 0 Solving 48w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(48 + 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 '(48 + w)' equal to zero and attempt to solve: Simplifying 48 + w = 0 Solving 48 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + w = 0 + -48 w = 0 + -48 Combine like terms: 0 + -48 = -48 w = -48 Simplifying w = -48Solution
w = {0, -48}
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