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Simplifying 10w2 + -8w = 0 Reorder the terms: -8w + 10w2 = 0 Solving -8w + 10w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-4 + 5w) = 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 '(-4 + 5w)' equal to zero and attempt to solve: Simplifying -4 + 5w = 0 Solving -4 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5w = 0 + 4 5w = 0 + 4 Combine like terms: 0 + 4 = 4 5w = 4 Divide each side by '5'. w = 0.8 Simplifying w = 0.8Solution
w = {0, 0.8}
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