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Simplifying (5w + -5)(w2 + 5w + 6) = 0 Reorder the terms: (-5 + 5w)(w2 + 5w + 6) = 0 Reorder the terms: (-5 + 5w)(6 + 5w + w2) = 0 Multiply (-5 + 5w) * (6 + 5w + w2) (-5(6 + 5w + w2) + 5w * (6 + 5w + w2)) = 0 ((6 * -5 + 5w * -5 + w2 * -5) + 5w * (6 + 5w + w2)) = 0 ((-30 + -25w + -5w2) + 5w * (6 + 5w + w2)) = 0 (-30 + -25w + -5w2 + (6 * 5w + 5w * 5w + w2 * 5w)) = 0 (-30 + -25w + -5w2 + (30w + 25w2 + 5w3)) = 0 Reorder the terms: (-30 + -25w + 30w + -5w2 + 25w2 + 5w3) = 0 Combine like terms: -25w + 30w = 5w (-30 + 5w + -5w2 + 25w2 + 5w3) = 0 Combine like terms: -5w2 + 25w2 = 20w2 (-30 + 5w + 20w2 + 5w3) = 0 Solving -30 + 5w + 20w2 + 5w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + w + 4w2 + w3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + w + 4w2 + w3)' equal to zero and attempt to solve: Simplifying -6 + w + 4w2 + w3 = 0 Solving -6 + w + 4w2 + w3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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