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Simplifying (w2 + -5w + 6)(6w + 30) = 0 Reorder the terms: (6 + -5w + w2)(6w + 30) = 0 Reorder the terms: (6 + -5w + w2)(30 + 6w) = 0 Multiply (6 + -5w + w2) * (30 + 6w) (6(30 + 6w) + -5w * (30 + 6w) + w2(30 + 6w)) = 0 ((30 * 6 + 6w * 6) + -5w * (30 + 6w) + w2(30 + 6w)) = 0 ((180 + 36w) + -5w * (30 + 6w) + w2(30 + 6w)) = 0 (180 + 36w + (30 * -5w + 6w * -5w) + w2(30 + 6w)) = 0 (180 + 36w + (-150w + -30w2) + w2(30 + 6w)) = 0 (180 + 36w + -150w + -30w2 + (30 * w2 + 6w * w2)) = 0 (180 + 36w + -150w + -30w2 + (30w2 + 6w3)) = 0 Combine like terms: 36w + -150w = -114w (180 + -114w + -30w2 + 30w2 + 6w3) = 0 Combine like terms: -30w2 + 30w2 = 0 (180 + -114w + 0 + 6w3) = 0 (180 + -114w + 6w3) = 0 Solving 180 + -114w + 6w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6'. 6(30 + -19w + w3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(30 + -19w + w3)' equal to zero and attempt to solve: Simplifying 30 + -19w + w3 = 0 Solving 30 + -19w + 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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