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Simplifying 8w2 = 5w Solving 8w2 = 5w Solving for variable 'w'. Reorder the terms: -5w + 8w2 = 5w + -5w Combine like terms: 5w + -5w = 0 -5w + 8w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-5 + 8w) = 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 '(-5 + 8w)' equal to zero and attempt to solve: Simplifying -5 + 8w = 0 Solving -5 + 8w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8w = 0 + 5 8w = 0 + 5 Combine like terms: 0 + 5 = 5 8w = 5 Divide each side by '8'. w = 0.625 Simplifying w = 0.625Solution
w = {0, 0.625}
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