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Simplifying 16w3 + -9w = 0 Reorder the terms: -9w + 16w3 = 0 Solving -9w + 16w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-9 + 16w2) = 0 Factor a difference between two squares. w((3 + 4w)(-3 + 4w)) = 0Subproblem 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 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Subproblem 3
Set the factor '(-3 + 4w)' equal to zero and attempt to solve: Simplifying -3 + 4w = 0 Solving -3 + 4w = 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 + 4w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4w = 0 + 3 4w = 0 + 3 Combine like terms: 0 + 3 = 3 4w = 3 Divide each side by '4'. w = 0.75 Simplifying w = 0.75Solution
w = {0, -0.75, 0.75}
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