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Simplifying 0 = (x2 + -4x + 1)(x3 + -9x2 + 23x + -15) Reorder the terms: 0 = (1 + -4x + x2)(x3 + -9x2 + 23x + -15) Reorder the terms: 0 = (1 + -4x + x2)(-15 + 23x + -9x2 + x3) Multiply (1 + -4x + x2) * (-15 + 23x + -9x2 + x3) 0 = (1(-15 + 23x + -9x2 + x3) + -4x * (-15 + 23x + -9x2 + x3) + x2(-15 + 23x + -9x2 + x3)) 0 = ((-15 * 1 + 23x * 1 + -9x2 * 1 + x3 * 1) + -4x * (-15 + 23x + -9x2 + x3) + x2(-15 + 23x + -9x2 + x3)) 0 = ((-15 + 23x + -9x2 + 1x3) + -4x * (-15 + 23x + -9x2 + x3) + x2(-15 + 23x + -9x2 + x3)) 0 = (-15 + 23x + -9x2 + 1x3 + (-15 * -4x + 23x * -4x + -9x2 * -4x + x3 * -4x) + x2(-15 + 23x + -9x2 + x3)) 0 = (-15 + 23x + -9x2 + 1x3 + (60x + -92x2 + 36x3 + -4x4) + x2(-15 + 23x + -9x2 + x3)) 0 = (-15 + 23x + -9x2 + 1x3 + 60x + -92x2 + 36x3 + -4x4 + (-15 * x2 + 23x * x2 + -9x2 * x2 + x3 * x2)) 0 = (-15 + 23x + -9x2 + 1x3 + 60x + -92x2 + 36x3 + -4x4 + (-15x2 + 23x3 + -9x4 + x5)) Reorder the terms: 0 = (-15 + 23x + 60x + -9x2 + -92x2 + -15x2 + 1x3 + 36x3 + 23x3 + -4x4 + -9x4 + x5) Combine like terms: 23x + 60x = 83x 0 = (-15 + 83x + -9x2 + -92x2 + -15x2 + 1x3 + 36x3 + 23x3 + -4x4 + -9x4 + x5) Combine like terms: -9x2 + -92x2 = -101x2 0 = (-15 + 83x + -101x2 + -15x2 + 1x3 + 36x3 + 23x3 + -4x4 + -9x4 + x5) Combine like terms: -101x2 + -15x2 = -116x2 0 = (-15 + 83x + -116x2 + 1x3 + 36x3 + 23x3 + -4x4 + -9x4 + x5) Combine like terms: 1x3 + 36x3 = 37x3 0 = (-15 + 83x + -116x2 + 37x3 + 23x3 + -4x4 + -9x4 + x5) Combine like terms: 37x3 + 23x3 = 60x3 0 = (-15 + 83x + -116x2 + 60x3 + -4x4 + -9x4 + x5) Combine like terms: -4x4 + -9x4 = -13x4 0 = (-15 + 83x + -116x2 + 60x3 + -13x4 + x5) Solving 0 = -15 + 83x + -116x2 + 60x3 + -13x4 + x5 Solving for variable 'x'. Combine like terms: 0 + 15 = 15 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = -15 + 83x + -116x2 + 60x3 + -13x4 + x5 + 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 Reorder the terms: 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = -15 + 15 + 83x + -83x + -116x2 + 116x2 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 Combine like terms: -15 + 15 = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 + 83x + -83x + -116x2 + 116x2 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 83x + -83x + -116x2 + 116x2 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 Combine like terms: 83x + -83x = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 + -116x2 + 116x2 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = -116x2 + 116x2 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 Combine like terms: -116x2 + 116x2 = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 + 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 60x3 + -60x3 + -13x4 + 13x4 + x5 + -1x5 Combine like terms: 60x3 + -60x3 = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 + -13x4 + 13x4 + x5 + -1x5 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = -13x4 + 13x4 + x5 + -1x5 Combine like terms: -13x4 + 13x4 = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 + x5 + -1x5 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 15 + -83x + 116x2 + -60x3 + 13x4 + -1x5 = 0 The solution to this equation could not be determined.
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