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Simplifying x[n + 1] + -2x[n] + x[n + -1] + -2 = 0 Reorder the terms: x[1 + n] + -2x[n] + x[n + -1] + -2 = 0 [1 * x + n * x] + -2x[n] + x[n + -1] + -2 = 0 Reorder the terms: [nx + 1x] + -2x[n] + x[n + -1] + -2 = 0 [nx + 1x] + -2x[n] + x[n + -1] + -2 = 0 Multiply x * n nx + 1x + -2nx + x[n + -1] + -2 = 0 Reorder the terms: nx + 1x + -2nx + x[-1 + n] + -2 = 0 nx + 1x + -2nx + [-1 * x + n * x] + -2 = 0 Reorder the terms: nx + 1x + -2nx + [nx + -1x] + -2 = 0 nx + 1x + -2nx + [nx + -1x] + -2 = 0 Reorder the terms: -2 + nx + -2nx + nx + 1x + -1x = 0 Combine like terms: nx + -2nx = -1nx -2 + -1nx + nx + 1x + -1x = 0 Combine like terms: -1nx + nx = 0 -2 + 0 + 1x + -1x = 0 -2 + 1x + -1x = 0 Combine like terms: 1x + -1x = 0 -2 + 0 = 0 -2 = 0 Solving -2 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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