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Simplifying 10w + -8w3 = 0 Solving 10w + -8w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(5 + -4w2) = 0 Ignore the factor 2.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 '(5 + -4w2)' equal to zero and attempt to solve: Simplifying 5 + -4w2 = 0 Solving 5 + -4w2 = 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 + -4w2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w2 = 0 + -5 -4w2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4w2 = -5 Divide each side by '-4'. w2 = 1.25 Simplifying w2 = 1.25 Take the square root of each side: w = {-1.118033989, 1.118033989}Solution
w = {0, -1.118033989, 1.118033989}
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