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Simplifying 72w4 + -50w2 = 0 Reorder the terms: -50w2 + 72w4 = 0 Solving -50w2 + 72w4 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w2'. 2w2(-25 + 36w2) = 0 Factor a difference between two squares. 2w2((5 + 6w)(-5 + 6w)) = 0 Ignore the factor 2.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 '(5 + 6w)' equal to zero and attempt to solve: Simplifying 5 + 6w = 0 Solving 5 + 6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = 0 + -5 6w = 0 + -5 Combine like terms: 0 + -5 = -5 6w = -5 Divide each side by '6'. w = -0.8333333333 Simplifying w = -0.8333333333Subproblem 3
Set the factor '(-5 + 6w)' equal to zero and attempt to solve: Simplifying -5 + 6w = 0 Solving -5 + 6w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 0 + 5 6w = 0 + 5 Combine like terms: 0 + 5 = 5 6w = 5 Divide each side by '6'. w = 0.8333333333 Simplifying w = 0.8333333333Solution
w = {0, -0.8333333333, 0.8333333333}
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