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Simplifying w(w + 5) * 2(w + 5)(w + -3) = 70 Reorder the terms: w(5 + w) * 2(w + 5)(w + -3) = 70 Reorder the terms: w(5 + w) * 2(5 + w)(w + -3) = 70 Reorder the terms: w(5 + w) * 2(5 + w)(-3 + w) = 70 Reorder the terms for easier multiplication: 2w(5 + w)(5 + w)(-3 + w) = 70 Multiply (5 + w) * (5 + w) 2w(5(5 + w) + w(5 + w))(-3 + w) = 70 2w((5 * 5 + w * 5) + w(5 + w))(-3 + w) = 70 2w((25 + 5w) + w(5 + w))(-3 + w) = 70 2w(25 + 5w + (5 * w + w * w))(-3 + w) = 70 2w(25 + 5w + (5w + w2))(-3 + w) = 70 Combine like terms: 5w + 5w = 10w 2w(25 + 10w + w2)(-3 + w) = 70 Multiply (25 + 10w + w2) * (-3 + w) 2w(25(-3 + w) + 10w * (-3 + w) + w2(-3 + w)) = 70 2w((-3 * 25 + w * 25) + 10w * (-3 + w) + w2(-3 + w)) = 70 2w((-75 + 25w) + 10w * (-3 + w) + w2(-3 + w)) = 70 2w(-75 + 25w + (-3 * 10w + w * 10w) + w2(-3 + w)) = 70 2w(-75 + 25w + (-30w + 10w2) + w2(-3 + w)) = 70 2w(-75 + 25w + -30w + 10w2 + (-3 * w2 + w * w2)) = 70 2w(-75 + 25w + -30w + 10w2 + (-3w2 + w3)) = 70 Combine like terms: 25w + -30w = -5w 2w(-75 + -5w + 10w2 + -3w2 + w3) = 70 Combine like terms: 10w2 + -3w2 = 7w2 2w(-75 + -5w + 7w2 + w3) = 70 (-75 * 2w + -5w * 2w + 7w2 * 2w + w3 * 2w) = 70 (-150w + -10w2 + 14w3 + 2w4) = 70 Solving -150w + -10w2 + 14w3 + 2w4 = 70 Solving for variable 'w'. Reorder the terms: -70 + -150w + -10w2 + 14w3 + 2w4 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + -150w + -10w2 + 14w3 + 2w4 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + -75w + -5w2 + 7w3 + w4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-35 + -75w + -5w2 + 7w3 + w4)' equal to zero and attempt to solve: Simplifying -35 + -75w + -5w2 + 7w3 + w4 = 0 Solving -35 + -75w + -5w2 + 7w3 + w4 = 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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