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Simplifying (x + 6)(x + -1m) = 0 Reorder the terms: (6 + x)(x + -1m) = 0 Reorder the terms: (6 + x)(-1m + x) = 0 Multiply (6 + x) * (-1m + x) (6(-1m + x) + x(-1m + x)) = 0 ((-1m * 6 + x * 6) + x(-1m + x)) = 0 ((-6m + 6x) + x(-1m + x)) = 0 (-6m + 6x + (-1m * x + x * x)) = 0 (-6m + 6x + (-1mx + x2)) = 0 Reorder the terms: (-6m + -1mx + 6x + x2) = 0 (-6m + -1mx + 6x + x2) = 0 Solving -6m + -1mx + 6x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6x' to each side of the equation. -6m + -1mx + 6x + -6x + x2 = 0 + -6x Combine like terms: 6x + -6x = 0 -6m + -1mx + 0 + x2 = 0 + -6x -6m + -1mx + x2 = 0 + -6x Remove the zero: -6m + -1mx + x2 = -6x Add '-1x2' to each side of the equation. -6m + -1mx + x2 + -1x2 = -6x + -1x2 Combine like terms: x2 + -1x2 = 0 -6m + -1mx + 0 = -6x + -1x2 -6m + -1mx = -6x + -1x2 Reorder the terms: -6m + -1mx + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 -6m + -1mx + 6x + x2 = 0 + -1x2 + x2 -6m + -1mx + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6m + -1mx + 6x + x2 = 0 The solution to this equation could not be determined.
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