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Simplifying [x3 + -1(4x2 + -1x + 1)] + -1[x3 + -1(4x2 + -1x + 13)] = 0 Reorder the terms: [x3 + -1(1 + -1x + 4x2)] + -1[x3 + -1(4x2 + -1x + 13)] = 0 [x3 + (1 * -1 + -1x * -1 + 4x2 * -1)] + -1[x3 + -1(4x2 + -1x + 13)] = 0 [x3 + (-1 + 1x + -4x2)] + -1[x3 + -1(4x2 + -1x + 13)] = 0 Reorder the terms: [-1 + 1x + -4x2 + x3] + -1[x3 + -1(4x2 + -1x + 13)] = 0 Remove brackets around [-1 + 1x + -4x2 + x3] -1 + 1x + -4x2 + x3 + -1[x3 + -1(4x2 + -1x + 13)] = 0 Reorder the terms: -1 + 1x + -4x2 + x3 + -1[x3 + -1(13 + -1x + 4x2)] = 0 -1 + 1x + -4x2 + x3 + -1[x3 + (13 * -1 + -1x * -1 + 4x2 * -1)] = 0 -1 + 1x + -4x2 + x3 + -1[x3 + (-13 + 1x + -4x2)] = 0 Reorder the terms: -1 + 1x + -4x2 + x3 + -1[-13 + 1x + -4x2 + x3] = 0 -1 + 1x + -4x2 + x3 + [-13 * -1 + 1x * -1 + -4x2 * -1 + x3 * -1] = 0 -1 + 1x + -4x2 + x3 + [13 + -1x + 4x2 + -1x3] = 0 Reorder the terms: -1 + 13 + 1x + -1x + -4x2 + 4x2 + x3 + -1x3 = 0 Combine like terms: -1 + 13 = 12 12 + 1x + -1x + -4x2 + 4x2 + x3 + -1x3 = 0 Combine like terms: 1x + -1x = 0 12 + 0 + -4x2 + 4x2 + x3 + -1x3 = 0 12 + -4x2 + 4x2 + x3 + -1x3 = 0 Combine like terms: -4x2 + 4x2 = 0 12 + 0 + x3 + -1x3 = 0 12 + x3 + -1x3 = 0 Combine like terms: x3 + -1x3 = 0 12 + 0 = 0 12 = 0 Solving 12 = 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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