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Simplifying 2w2 = 9w Solving 2w2 = 9w Solving for variable 'w'. Reorder the terms: -9w + 2w2 = 9w + -9w Combine like terms: 9w + -9w = 0 -9w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-9 + 2w) = 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 + 2w)' equal to zero and attempt to solve: Simplifying -9 + 2w = 0 Solving -9 + 2w = 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 + 2w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2w = 0 + 9 2w = 0 + 9 Combine like terms: 0 + 9 = 9 2w = 9 Divide each side by '2'. w = 4.5 Simplifying w = 4.5Solution
w = {0, 4.5}
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