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Simplifying 5w2 + -9w = 0 Reorder the terms: -9w + 5w2 = 0 Solving -9w + 5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-9 + 5w) = 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 '(-9 + 5w)' equal to zero and attempt to solve: Simplifying -9 + 5w = 0 Solving -9 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5w = 0 + 9 5w = 0 + 9 Combine like terms: 0 + 9 = 9 5w = 9 Divide each side by '5'. w = 1.8 Simplifying w = 1.8Solution
w = {0, 1.8}
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