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Simplifying (w2 + -8w + 7)(2w + 12) = 0 Reorder the terms: (7 + -8w + w2)(2w + 12) = 0 Reorder the terms: (7 + -8w + w2)(12 + 2w) = 0 Multiply (7 + -8w + w2) * (12 + 2w) (7(12 + 2w) + -8w * (12 + 2w) + w2(12 + 2w)) = 0 ((12 * 7 + 2w * 7) + -8w * (12 + 2w) + w2(12 + 2w)) = 0 ((84 + 14w) + -8w * (12 + 2w) + w2(12 + 2w)) = 0 (84 + 14w + (12 * -8w + 2w * -8w) + w2(12 + 2w)) = 0 (84 + 14w + (-96w + -16w2) + w2(12 + 2w)) = 0 (84 + 14w + -96w + -16w2 + (12 * w2 + 2w * w2)) = 0 (84 + 14w + -96w + -16w2 + (12w2 + 2w3)) = 0 Combine like terms: 14w + -96w = -82w (84 + -82w + -16w2 + 12w2 + 2w3) = 0 Combine like terms: -16w2 + 12w2 = -4w2 (84 + -82w + -4w2 + 2w3) = 0 Solving 84 + -82w + -4w2 + 2w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(42 + -41w + -2w2 + w3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(42 + -41w + -2w2 + w3)' equal to zero and attempt to solve: Simplifying 42 + -41w + -2w2 + w3 = 0 Solving 42 + -41w + -2w2 + 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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