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Simplifying 24w2 + -58w + -22w = 0 Reorder the terms: -58w + -22w + 24w2 = 0 Combine like terms: -58w + -22w = -80w -80w + 24w2 = 0 Solving -80w + 24w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8w'. 8w(-10 + 3w) = 0 Ignore the factor 8.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 '(-10 + 3w)' equal to zero and attempt to solve: Simplifying -10 + 3w = 0 Solving -10 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3w = 0 + 10 3w = 0 + 10 Combine like terms: 0 + 10 = 10 3w = 10 Divide each side by '3'. w = 3.333333333 Simplifying w = 3.333333333Solution
w = {0, 3.333333333}
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