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Simplifying (-4m2p)(m + p)(m + p)(m + p)(m + p) = 0 Remove parenthesis around (-4m2p) -4m2p(m + p)(m + p)(m + p)(m + p) = 0 Multiply (m + p) * (m + p) -4m2p(m(m + p) + p(m + p))(m + p)(m + p) = 0 -4m2p((m * m + p * m) + p(m + p))(m + p)(m + p) = 0 Reorder the terms: -4m2p((mp + m2) + p(m + p))(m + p)(m + p) = 0 -4m2p((mp + m2) + p(m + p))(m + p)(m + p) = 0 -4m2p(mp + m2 + (m * p + p * p))(m + p)(m + p) = 0 -4m2p(mp + m2 + (mp + p2))(m + p)(m + p) = 0 Reorder the terms: -4m2p(mp + mp + m2 + p2)(m + p)(m + p) = 0 Combine like terms: mp + mp = 2mp -4m2p(2mp + m2 + p2)(m + p)(m + p) = 0 Multiply (2mp + m2 + p2) * (m + p) -4m2p(2mp * (m + p) + m2(m + p) + p2(m + p))(m + p) = 0 -4m2p((m * 2mp + p * 2mp) + m2(m + p) + p2(m + p))(m + p) = 0 Reorder the terms: -4m2p((2mp2 + 2m2p) + m2(m + p) + p2(m + p))(m + p) = 0 -4m2p((2mp2 + 2m2p) + m2(m + p) + p2(m + p))(m + p) = 0 -4m2p(2mp2 + 2m2p + (m * m2 + p * m2) + p2(m + p))(m + p) = 0 Reorder the terms: -4m2p(2mp2 + 2m2p + (m2p + m3) + p2(m + p))(m + p) = 0 -4m2p(2mp2 + 2m2p + (m2p + m3) + p2(m + p))(m + p) = 0 -4m2p(2mp2 + 2m2p + m2p + m3 + (m * p2 + p * p2))(m + p) = 0 -4m2p(2mp2 + 2m2p + m2p + m3 + (mp2 + p3))(m + p) = 0 Reorder the terms: -4m2p(2mp2 + mp2 + 2m2p + m2p + m3 + p3)(m + p) = 0 Combine like terms: 2mp2 + mp2 = 3mp2 -4m2p(3mp2 + 2m2p + m2p + m3 + p3)(m + p) = 0 Combine like terms: 2m2p + m2p = 3m2p -4m2p(3mp2 + 3m2p + m3 + p3)(m + p) = 0 Multiply (3mp2 + 3m2p + m3 + p3) * (m + p) -4m2p(3mp2 * (m + p) + 3m2p * (m + p) + m3(m + p) + p3(m + p)) = 0 -4m2p((m * 3mp2 + p * 3mp2) + 3m2p * (m + p) + m3(m + p) + p3(m + p)) = 0 Reorder the terms: -4m2p((3mp3 + 3m2p2) + 3m2p * (m + p) + m3(m + p) + p3(m + p)) = 0 -4m2p((3mp3 + 3m2p2) + 3m2p * (m + p) + m3(m + p) + p3(m + p)) = 0 -4m2p(3mp3 + 3m2p2 + (m * 3m2p + p * 3m2p) + m3(m + p) + p3(m + p)) = 0 Reorder the terms: -4m2p(3mp3 + 3m2p2 + (3m2p2 + 3m3p) + m3(m + p) + p3(m + p)) = 0 -4m2p(3mp3 + 3m2p2 + (3m2p2 + 3m3p) + m3(m + p) + p3(m + p)) = 0 -4m2p(3mp3 + 3m2p2 + 3m2p2 + 3m3p + (m * m3 + p * m3) + p3(m + p)) = 0 Reorder the terms: -4m2p(3mp3 + 3m2p2 + 3m2p2 + 3m3p + (m3p + m4) + p3(m + p)) = 0 -4m2p(3mp3 + 3m2p2 + 3m2p2 + 3m3p + (m3p + m4) + p3(m + p)) = 0 -4m2p(3mp3 + 3m2p2 + 3m2p2 + 3m3p + m3p + m4 + (m * p3 + p * p3)) = 0 -4m2p(3mp3 + 3m2p2 + 3m2p2 + 3m3p + m3p + m4 + (mp3 + p4)) = 0 Reorder the terms: -4m2p(3mp3 + mp3 + 3m2p2 + 3m2p2 + 3m3p + m3p + m4 + p4) = 0 Combine like terms: 3mp3 + mp3 = 4mp3 -4m2p(4mp3 + 3m2p2 + 3m2p2 + 3m3p + m3p + m4 + p4) = 0 Combine like terms: 3m2p2 + 3m2p2 = 6m2p2 -4m2p(4mp3 + 6m2p2 + 3m3p + m3p + m4 + p4) = 0 Combine like terms: 3m3p + m3p = 4m3p -4m2p(4mp3 + 6m2p2 + 4m3p + m4 + p4) = 0 (4mp3 * -4m2p + 6m2p2 * -4m2p + 4m3p * -4m2p + m4 * -4m2p + p4 * -4m2p) = 0 Reorder the terms: (-4m2p5 + -16m3p4 + -24m4p3 + -16m5p2 + -4m6p) = 0 (-4m2p5 + -16m3p4 + -24m4p3 + -16m5p2 + -4m6p) = 0 Solving -4m2p5 + -16m3p4 + -24m4p3 + -16m5p2 + -4m6p = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-4m2p'. -4m2p(p4 + 4mp3 + 6m2p2 + 4m3p + m4) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'm2p' equal to zero and attempt to solve: Simplifying m2p = 0 Solving m2p = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2p = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(p4 + 4mp3 + 6m2p2 + 4m3p + m4)' equal to zero and attempt to solve: Simplifying p4 + 4mp3 + 6m2p2 + 4m3p + m4 = 0 Reorder the terms: 4mp3 + 6m2p2 + 4m3p + m4 + p4 = 0 Solving 4mp3 + 6m2p2 + 4m3p + m4 + p4 = 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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