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Simplifying 8w3 + -13w2 + -6w = 0 Reorder the terms: -6w + -13w2 + 8w3 = 0 Solving -6w + -13w2 + 8w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-6 + -13w + 8w2) = 0 Factor a trinomial. w((-3 + -8w)(2 + -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 '(-3 + -8w)' equal to zero and attempt to solve: Simplifying -3 + -8w = 0 Solving -3 + -8w = 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 + -8w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8w = 0 + 3 -8w = 0 + 3 Combine like terms: 0 + 3 = 3 -8w = 3 Divide each side by '-8'. w = -0.375 Simplifying w = -0.375Subproblem 3
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 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 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {0, -0.375, 2}
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