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Simplifying 20w3 + -15w2 = 0 Reorder the terms: -15w2 + 20w3 = 0 Solving -15w2 + 20w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w2'. 5w2(-3 + 4w) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}Subproblem 2
Set the factor '(-3 + 4w)' equal to zero and attempt to solve: Simplifying -3 + 4w = 0 Solving -3 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4w = 0 + 3 4w = 0 + 3 Combine like terms: 0 + 3 = 3 4w = 3 Divide each side by '4'. w = 0.75 Simplifying w = 0.75Solution
w = {0, 0.75}
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