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Simplifying 5w3 = 50w Solving 5w3 = 50w Solving for variable 'w'. Reorder the terms: -50w + 5w3 = 50w + -50w Combine like terms: 50w + -50w = 0 -50w + 5w3 = 0 Factor out the Greatest Common Factor (GCF), '5w'. 5w(-10 + w2) = 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 '(-10 + w2)' equal to zero and attempt to solve: Simplifying -10 + w2 = 0 Solving -10 + w2 = 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 + w2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + w2 = 0 + 10 w2 = 0 + 10 Combine like terms: 0 + 10 = 10 w2 = 10 Simplifying w2 = 10 Take the square root of each side: w = {-3.16227766, 3.16227766}Solution
w = {0, -3.16227766, 3.16227766}
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