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Simplifying 14w3 + -33w2 + 18w = 0 Reorder the terms: 18w + -33w2 + 14w3 = 0 Solving 18w + -33w2 + 14w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(18 + -33w + 14w2) = 0 Factor a trinomial. w((6 + -7w)(3 + -2w)) = 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 '(6 + -7w)' equal to zero and attempt to solve: Simplifying 6 + -7w = 0 Solving 6 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7w = 0 + -6 -7w = 0 + -6 Combine like terms: 0 + -6 = -6 -7w = -6 Divide each side by '-7'. w = 0.8571428571 Simplifying w = 0.8571428571Subproblem 3
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 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 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Solution
w = {0, 0.8571428571, 1.5}
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