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Simplifying 6w3 + -4w2 = 0 Reorder the terms: -4w2 + 6w3 = 0 Solving -4w2 + 6w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w2'. 2w2(-2 + 3w) = 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 '(-2 + 3w)' equal to zero and attempt to solve: Simplifying -2 + 3w = 0 Solving -2 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 0 + 2 3w = 0 + 2 Combine like terms: 0 + 2 = 2 3w = 2 Divide each side by '3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {0, 0.6666666667}
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