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Simplifying w2 + 32w = 0 Reorder the terms: 32w + w2 = 0 Solving 32w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(32 + 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 '(32 + w)' equal to zero and attempt to solve: Simplifying 32 + w = 0 Solving 32 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + w = 0 + -32 w = 0 + -32 Combine like terms: 0 + -32 = -32 w = -32 Simplifying w = -32Solution
w = {0, -32}
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