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Simplifying x2 + (m + 5) * x + (5m + 1) = 0 Reorder the terms: x2 + (5 + m) * x + (5m + 1) = 0 Reorder the terms for easier multiplication: x2 + x(5 + m) + (5m + 1) = 0 x2 + (5 * x + m * x) + (5m + 1) = 0 Reorder the terms: x2 + (mx + 5x) + (5m + 1) = 0 x2 + (mx + 5x) + (5m + 1) = 0 Reorder the terms: x2 + mx + 5x + (1 + 5m) = 0 Remove parenthesis around (1 + 5m) x2 + mx + 5x + 1 + 5m = 0 Reorder the terms: 1 + 5m + mx + 5x + x2 = 0 Solving 1 + 5m + mx + 5x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5m + mx + 5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 5m + mx + 5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m + mx + 5x + x2 = 0 + -1 5m + mx + 5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5m + mx + 5x + x2 = -1 Add '-5x' to each side of the equation. 5m + mx + 5x + -5x + x2 = -1 + -5x Combine like terms: 5x + -5x = 0 5m + mx + 0 + x2 = -1 + -5x 5m + mx + x2 = -1 + -5x Add '-1x2' to each side of the equation. 5m + mx + x2 + -1x2 = -1 + -5x + -1x2 Combine like terms: x2 + -1x2 = 0 5m + mx + 0 = -1 + -5x + -1x2 5m + mx = -1 + -5x + -1x2 Reorder the terms: 1 + 5m + mx + 5x + x2 = -1 + -5x + -1x2 + 1 + 5x + x2 Reorder the terms: 1 + 5m + mx + 5x + x2 = -1 + 1 + -5x + 5x + -1x2 + x2 Combine like terms: -1 + 1 = 0 1 + 5m + mx + 5x + x2 = 0 + -5x + 5x + -1x2 + x2 1 + 5m + mx + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 1 + 5m + mx + 5x + x2 = 0 + -1x2 + x2 1 + 5m + mx + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1 + 5m + mx + 5x + x2 = 0 The solution to this equation could not be determined.
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