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Simplifying 56w3 + -17w2 + -3w = 0 Reorder the terms: -3w + -17w2 + 56w3 = 0 Solving -3w + -17w2 + 56w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-3 + -17w + 56w2) = 0 Factor a trinomial. w((-1 + -8w)(3 + -7w)) = 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 '(-1 + -8w)' equal to zero and attempt to solve: Simplifying -1 + -8w = 0 Solving -1 + -8w = 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 + -8w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8w = 0 + 1 -8w = 0 + 1 Combine like terms: 0 + 1 = 1 -8w = 1 Divide each side by '-8'. w = -0.125 Simplifying w = -0.125Subproblem 3
Set the factor '(3 + -7w)' equal to zero and attempt to solve: Simplifying 3 + -7w = 0 Solving 3 + -7w = 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 + -7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7w = 0 + -3 -7w = 0 + -3 Combine like terms: 0 + -3 = -3 -7w = -3 Divide each side by '-7'. w = 0.4285714286 Simplifying w = 0.4285714286Solution
w = {0, -0.125, 0.4285714286}
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