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Simplifying -1w3 + 25w2 + -24w = 0 Reorder the terms: -24w + 25w2 + -1w3 = 0 Solving -24w + 25w2 + -1w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-24 + 25w + -1w2) = 0 Factor a trinomial. w((-24 + w)(1 + -1w)) = 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 '(-24 + w)' equal to zero and attempt to solve: Simplifying -24 + w = 0 Solving -24 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + w = 0 + 24 w = 0 + 24 Combine like terms: 0 + 24 = 24 w = 24 Simplifying w = 24Subproblem 3
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {0, 24, 1}
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