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Simplifying w2 + 45w = 0 Reorder the terms: 45w + w2 = 0 Solving 45w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(45 + 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 '(45 + w)' equal to zero and attempt to solve: Simplifying 45 + w = 0 Solving 45 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + w = 0 + -45 w = 0 + -45 Combine like terms: 0 + -45 = -45 w = -45 Simplifying w = -45Solution
w = {0, -45}
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