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Simplifying (w2 + 10w + 21)(8w + -24) = 0 Reorder the terms: (21 + 10w + w2)(8w + -24) = 0 Reorder the terms: (21 + 10w + w2)(-24 + 8w) = 0 Multiply (21 + 10w + w2) * (-24 + 8w) (21(-24 + 8w) + 10w * (-24 + 8w) + w2(-24 + 8w)) = 0 ((-24 * 21 + 8w * 21) + 10w * (-24 + 8w) + w2(-24 + 8w)) = 0 ((-504 + 168w) + 10w * (-24 + 8w) + w2(-24 + 8w)) = 0 (-504 + 168w + (-24 * 10w + 8w * 10w) + w2(-24 + 8w)) = 0 (-504 + 168w + (-240w + 80w2) + w2(-24 + 8w)) = 0 (-504 + 168w + -240w + 80w2 + (-24 * w2 + 8w * w2)) = 0 (-504 + 168w + -240w + 80w2 + (-24w2 + 8w3)) = 0 Combine like terms: 168w + -240w = -72w (-504 + -72w + 80w2 + -24w2 + 8w3) = 0 Combine like terms: 80w2 + -24w2 = 56w2 (-504 + -72w + 56w2 + 8w3) = 0 Solving -504 + -72w + 56w2 + 8w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8'. 8(-63 + -9w + 7w2 + w3) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-63 + -9w + 7w2 + w3)' equal to zero and attempt to solve: Simplifying -63 + -9w + 7w2 + w3 = 0 Solving -63 + -9w + 7w2 + 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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