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Simplifying 15w + -20w3 = 0 Solving 15w + -20w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(3 + -4w2) = 0 Ignore the factor 5.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 '(3 + -4w2)' equal to zero and attempt to solve: Simplifying 3 + -4w2 = 0 Solving 3 + -4w2 = 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 + -4w2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4w2 = 0 + -3 -4w2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4w2 = -3 Divide each side by '-4'. w2 = 0.75 Simplifying w2 = 0.75 Take the square root of each side: w = {-0.866025404, 0.866025404}Solution
w = {0, -0.866025404, 0.866025404}
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