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Simplifying 8w2 = 50w Solving 8w2 = 50w Solving for variable 'w'. Reorder the terms: -50w + 8w2 = 50w + -50w Combine like terms: 50w + -50w = 0 -50w + 8w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(-25 + 4w) = 0 Ignore the factor 2.Subproblem 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 '(-25 + 4w)' equal to zero and attempt to solve: Simplifying -25 + 4w = 0 Solving -25 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4w = 0 + 25 4w = 0 + 25 Combine like terms: 0 + 25 = 25 4w = 25 Divide each side by '4'. w = 6.25 Simplifying w = 6.25Solution
w = {0, 6.25}
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