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Simplifying 5w7 + -80w6 + -285w5 = 0 Reorder the terms: -285w5 + -80w6 + 5w7 = 0 Solving -285w5 + -80w6 + 5w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w5'. 5w5(-57 + -16w + w2) = 0 Factor a trinomial. 5w5((-3 + -1w)(19 + -1w)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'w5' equal to zero and attempt to solve: Simplifying w5 = 0 Solving w5 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 '(19 + -1w)' equal to zero and attempt to solve: Simplifying 19 + -1w = 0 Solving 19 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1w = 0 + -19 -1w = 0 + -19 Combine like terms: 0 + -19 = -19 -1w = -19 Divide each side by '-1'. w = 19 Simplifying w = 19Solution
w = {-3, 19}
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