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Simplifying (w2 + w + -30)(7w + 14) = 0 Reorder the terms: (-30 + w + w2)(7w + 14) = 0 Reorder the terms: (-30 + w + w2)(14 + 7w) = 0 Multiply (-30 + w + w2) * (14 + 7w) (-30(14 + 7w) + w(14 + 7w) + w2(14 + 7w)) = 0 ((14 * -30 + 7w * -30) + w(14 + 7w) + w2(14 + 7w)) = 0 ((-420 + -210w) + w(14 + 7w) + w2(14 + 7w)) = 0 (-420 + -210w + (14 * w + 7w * w) + w2(14 + 7w)) = 0 (-420 + -210w + (14w + 7w2) + w2(14 + 7w)) = 0 (-420 + -210w + 14w + 7w2 + (14 * w2 + 7w * w2)) = 0 (-420 + -210w + 14w + 7w2 + (14w2 + 7w3)) = 0 Combine like terms: -210w + 14w = -196w (-420 + -196w + 7w2 + 14w2 + 7w3) = 0 Combine like terms: 7w2 + 14w2 = 21w2 (-420 + -196w + 21w2 + 7w3) = 0 Solving -420 + -196w + 21w2 + 7w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '7'. 7(-60 + -28w + 3w2 + w3) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-60 + -28w + 3w2 + w3)' equal to zero and attempt to solve: Simplifying -60 + -28w + 3w2 + w3 = 0 Solving -60 + -28w + 3w2 + 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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