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Simplifying 0 = (x + -1)(x2 + 5x + -6) Reorder the terms: 0 = (-1 + x)(x2 + 5x + -6) Reorder the terms: 0 = (-1 + x)(-6 + 5x + x2) Multiply (-1 + x) * (-6 + 5x + x2) 0 = (-1(-6 + 5x + x2) + x(-6 + 5x + x2)) 0 = ((-6 * -1 + 5x * -1 + x2 * -1) + x(-6 + 5x + x2)) 0 = ((6 + -5x + -1x2) + x(-6 + 5x + x2)) 0 = (6 + -5x + -1x2 + (-6 * x + 5x * x + x2 * x)) 0 = (6 + -5x + -1x2 + (-6x + 5x2 + x3)) Reorder the terms: 0 = (6 + -5x + -6x + -1x2 + 5x2 + x3) Combine like terms: -5x + -6x = -11x 0 = (6 + -11x + -1x2 + 5x2 + x3) Combine like terms: -1x2 + 5x2 = 4x2 0 = (6 + -11x + 4x2 + x3) Solving 0 = 6 + -11x + 4x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -6 = -6 -6 + 11x + -4x2 + -1x3 = 6 + -11x + 4x2 + x3 + -6 + 11x + -4x2 + -1x3 Reorder the terms: -6 + 11x + -4x2 + -1x3 = 6 + -6 + -11x + 11x + 4x2 + -4x2 + x3 + -1x3 Combine like terms: 6 + -6 = 0 -6 + 11x + -4x2 + -1x3 = 0 + -11x + 11x + 4x2 + -4x2 + x3 + -1x3 -6 + 11x + -4x2 + -1x3 = -11x + 11x + 4x2 + -4x2 + x3 + -1x3 Combine like terms: -11x + 11x = 0 -6 + 11x + -4x2 + -1x3 = 0 + 4x2 + -4x2 + x3 + -1x3 -6 + 11x + -4x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3 Combine like terms: 4x2 + -4x2 = 0 -6 + 11x + -4x2 + -1x3 = 0 + x3 + -1x3 -6 + 11x + -4x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -6 + 11x + -4x2 + -1x3 = 0 The solution to this equation could not be determined.
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