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Simplifying 8w2 + 6w = 9w2 Reorder the terms: 6w + 8w2 = 9w2 Solving 6w + 8w2 = 9w2 Solving for variable 'w'. Combine like terms: 8w2 + -9w2 = -1w2 6w + -1w2 = 9w2 + -9w2 Combine like terms: 9w2 + -9w2 = 0 6w + -1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(6 + -1w) = 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 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 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 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Solution
w = {0, 6}
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