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Simplifying (5x + -1)(m + 2) = 0 Reorder the terms: (-1 + 5x)(m + 2) = 0 Reorder the terms: (-1 + 5x)(2 + m) = 0 Multiply (-1 + 5x) * (2 + m) (-1(2 + m) + 5x * (2 + m)) = 0 ((2 * -1 + m * -1) + 5x * (2 + m)) = 0 ((-2 + -1m) + 5x * (2 + m)) = 0 (-2 + -1m + (2 * 5x + m * 5x)) = 0 Reorder the terms: (-2 + -1m + (5mx + 10x)) = 0 (-2 + -1m + (5mx + 10x)) = 0 (-2 + -1m + 5mx + 10x) = 0 Solving -2 + -1m + 5mx + 10x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1m + 5mx + 2 + 10x = 0 + 2 Reorder the terms: -2 + 2 + -1m + 5mx + 10x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m + 5mx + 10x = 0 + 2 -1m + 5mx + 10x = 0 + 2 Combine like terms: 0 + 2 = 2 -1m + 5mx + 10x = 2 Add '-10x' to each side of the equation. -1m + 5mx + 10x + -10x = 2 + -10x Combine like terms: 10x + -10x = 0 -1m + 5mx + 0 = 2 + -10x -1m + 5mx = 2 + -10x Reorder the terms: -2 + -1m + 5mx + 10x = 2 + -10x + -2 + 10x Reorder the terms: -2 + -1m + 5mx + 10x = 2 + -2 + -10x + 10x Combine like terms: 2 + -2 = 0 -2 + -1m + 5mx + 10x = 0 + -10x + 10x -2 + -1m + 5mx + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -2 + -1m + 5mx + 10x = 0 The solution to this equation could not be determined.
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