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Simplifying m(n + -1x) + -1m(m + -1) = m(mx + -1a) (n * m + -1x * m) + -1m(m + -1) = m(mx + -1a) (mn + -1mx) + -1m(m + -1) = m(mx + -1a) Reorder the terms: mn + -1mx + -1m(-1 + m) = m(mx + -1a) mn + -1mx + (-1 * -1m + m * -1m) = m(mx + -1a) mn + -1mx + (1m + -1m2) = m(mx + -1a) Reorder the terms: 1m + mn + -1mx + -1m2 = m(mx + -1a) Reorder the terms: 1m + mn + -1mx + -1m2 = m(-1a + mx) 1m + mn + -1mx + -1m2 = (-1a * m + mx * m) 1m + mn + -1mx + -1m2 = (-1am + m2x) Solving 1m + mn + -1mx + -1m2 = -1am + m2x Solving for variable 'm'. Reorder the terms: am + 1m + mn + -1mx + -1m2 + -1m2x = -1am + m2x + am + -1m2x Reorder the terms: am + 1m + mn + -1mx + -1m2 + -1m2x = -1am + am + m2x + -1m2x Combine like terms: -1am + am = 0 am + 1m + mn + -1mx + -1m2 + -1m2x = 0 + m2x + -1m2x am + 1m + mn + -1mx + -1m2 + -1m2x = m2x + -1m2x Combine like terms: m2x + -1m2x = 0 am + 1m + mn + -1mx + -1m2 + -1m2x = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(a + 1 + n + -1x + -1m + -1mx) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(a + 1 + n + -1x + -1m + -1mx)' equal to zero and attempt to solve: Simplifying a + 1 + n + -1x + -1m + -1mx = 0 Reorder the terms: 1 + a + -1m + -1mx + n + -1x = 0 Solving 1 + a + -1m + -1mx + n + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + a + -1m + -1mx + n + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + a + -1m + -1mx + n + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a + -1m + -1mx + n + -1x = 0 + -1 a + -1m + -1mx + n + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 a + -1m + -1mx + n + -1x = -1 Add '-1a' to each side of the equation. a + -1m + -1mx + n + -1a + -1x = -1 + -1a Reorder the terms: a + -1a + -1m + -1mx + n + -1x = -1 + -1a Combine like terms: a + -1a = 0 0 + -1m + -1mx + n + -1x = -1 + -1a -1m + -1mx + n + -1x = -1 + -1a Add '-1n' to each side of the equation. -1m + -1mx + n + -1n + -1x = -1 + -1a + -1n Combine like terms: n + -1n = 0 -1m + -1mx + 0 + -1x = -1 + -1a + -1n -1m + -1mx + -1x = -1 + -1a + -1n Add 'x' to each side of the equation. -1m + -1mx + -1x + x = -1 + -1a + -1n + x Combine like terms: -1x + x = 0 -1m + -1mx + 0 = -1 + -1a + -1n + x -1m + -1mx = -1 + -1a + -1n + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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