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Simplifying (2m + -1p)(2m + -1p)(2m + -1p)(2m + -1p) = 0 Multiply (2m + -1p) * (2m + -1p) (2m * (2m + -1p) + -1p * (2m + -1p))(2m + -1p)(2m + -1p) = 0 ((2m * 2m + -1p * 2m) + -1p * (2m + -1p))(2m + -1p)(2m + -1p) = 0 Reorder the terms: ((-2mp + 4m2) + -1p * (2m + -1p))(2m + -1p)(2m + -1p) = 0 ((-2mp + 4m2) + -1p * (2m + -1p))(2m + -1p)(2m + -1p) = 0 (-2mp + 4m2 + (2m * -1p + -1p * -1p))(2m + -1p)(2m + -1p) = 0 (-2mp + 4m2 + (-2mp + 1p2))(2m + -1p)(2m + -1p) = 0 Reorder the terms: (-2mp + -2mp + 4m2 + 1p2)(2m + -1p)(2m + -1p) = 0 Combine like terms: -2mp + -2mp = -4mp (-4mp + 4m2 + 1p2)(2m + -1p)(2m + -1p) = 0 Multiply (-4mp + 4m2 + 1p2) * (2m + -1p) (-4mp * (2m + -1p) + 4m2 * (2m + -1p) + 1p2 * (2m + -1p))(2m + -1p) = 0 ((2m * -4mp + -1p * -4mp) + 4m2 * (2m + -1p) + 1p2 * (2m + -1p))(2m + -1p) = 0 Reorder the terms: ((4mp2 + -8m2p) + 4m2 * (2m + -1p) + 1p2 * (2m + -1p))(2m + -1p) = 0 ((4mp2 + -8m2p) + 4m2 * (2m + -1p) + 1p2 * (2m + -1p))(2m + -1p) = 0 (4mp2 + -8m2p + (2m * 4m2 + -1p * 4m2) + 1p2 * (2m + -1p))(2m + -1p) = 0 Reorder the terms: (4mp2 + -8m2p + (-4m2p + 8m3) + 1p2 * (2m + -1p))(2m + -1p) = 0 (4mp2 + -8m2p + (-4m2p + 8m3) + 1p2 * (2m + -1p))(2m + -1p) = 0 (4mp2 + -8m2p + -4m2p + 8m3 + (2m * 1p2 + -1p * 1p2))(2m + -1p) = 0 (4mp2 + -8m2p + -4m2p + 8m3 + (2mp2 + -1p3))(2m + -1p) = 0 Reorder the terms: (4mp2 + 2mp2 + -8m2p + -4m2p + 8m3 + -1p3)(2m + -1p) = 0 Combine like terms: 4mp2 + 2mp2 = 6mp2 (6mp2 + -8m2p + -4m2p + 8m3 + -1p3)(2m + -1p) = 0 Combine like terms: -8m2p + -4m2p = -12m2p (6mp2 + -12m2p + 8m3 + -1p3)(2m + -1p) = 0 Multiply (6mp2 + -12m2p + 8m3 + -1p3) * (2m + -1p) (6mp2 * (2m + -1p) + -12m2p * (2m + -1p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 ((2m * 6mp2 + -1p * 6mp2) + -12m2p * (2m + -1p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 Reorder the terms: ((-6mp3 + 12m2p2) + -12m2p * (2m + -1p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 ((-6mp3 + 12m2p2) + -12m2p * (2m + -1p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 (-6mp3 + 12m2p2 + (2m * -12m2p + -1p * -12m2p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 Reorder the terms: (-6mp3 + 12m2p2 + (12m2p2 + -24m3p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 (-6mp3 + 12m2p2 + (12m2p2 + -24m3p) + 8m3 * (2m + -1p) + -1p3 * (2m + -1p)) = 0 (-6mp3 + 12m2p2 + 12m2p2 + -24m3p + (2m * 8m3 + -1p * 8m3) + -1p3 * (2m + -1p)) = 0 Reorder the terms: (-6mp3 + 12m2p2 + 12m2p2 + -24m3p + (-8m3p + 16m4) + -1p3 * (2m + -1p)) = 0 (-6mp3 + 12m2p2 + 12m2p2 + -24m3p + (-8m3p + 16m4) + -1p3 * (2m + -1p)) = 0 (-6mp3 + 12m2p2 + 12m2p2 + -24m3p + -8m3p + 16m4 + (2m * -1p3 + -1p * -1p3)) = 0 (-6mp3 + 12m2p2 + 12m2p2 + -24m3p + -8m3p + 16m4 + (-2mp3 + 1p4)) = 0 Reorder the terms: (-6mp3 + -2mp3 + 12m2p2 + 12m2p2 + -24m3p + -8m3p + 16m4 + 1p4) = 0 Combine like terms: -6mp3 + -2mp3 = -8mp3 (-8mp3 + 12m2p2 + 12m2p2 + -24m3p + -8m3p + 16m4 + 1p4) = 0 Combine like terms: 12m2p2 + 12m2p2 = 24m2p2 (-8mp3 + 24m2p2 + -24m3p + -8m3p + 16m4 + 1p4) = 0 Combine like terms: -24m3p + -8m3p = -32m3p (-8mp3 + 24m2p2 + -32m3p + 16m4 + 1p4) = 0 Solving -8mp3 + 24m2p2 + -32m3p + 16m4 + 1p4 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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