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Simplifying (3w3) + -1(24w2) + (45w) = 0 Remove parenthesis around (24w2) (3w3) + -1 * 24w2 + (45w) = 0 Multiply -1 * 24 (3w3) + -24w2 + (45w) = 0 Reorder the terms: (45w) + -24w2 + (3w3) = 0 Solving (45w) + -24w2 + (3w3) = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(15 + -8w + w2) = 0 Factor a trinomial. 3w((3 + -1w)(5 + -1w)) = 0 Ignore the factor 3.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 '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 3
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {0, 3, 5}
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