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