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Simplifying 9w2 = 8w2 + 6w Reorder the terms: 9w2 = 6w + 8w2 Solving 9w2 = 6w + 8w2 Solving for variable 'w'. Reorder the terms: -6w + 9w2 + -8w2 = 6w + 8w2 + -6w + -8w2 Combine like terms: 9w2 + -8w2 = 1w2 -6w + 1w2 = 6w + 8w2 + -6w + -8w2 Reorder the terms: -6w + 1w2 = 6w + -6w + 8w2 + -8w2 Combine like terms: 6w + -6w = 0 -6w + 1w2 = 0 + 8w2 + -8w2 -6w + 1w2 = 8w2 + -8w2 Combine like terms: 8w2 + -8w2 = 0 -6w + 1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-6 + 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 '(-6 + w)' equal to zero and attempt to solve: Simplifying -6 + w = 0 Solving -6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + w = 0 + 6 w = 0 + 6 Combine like terms: 0 + 6 = 6 w = 6 Simplifying w = 6Solution
w = {0, 6}
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