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Simplifying (x + -1)(x + -2)(x + -3) = 6 Reorder the terms: (-1 + x)(x + -2)(x + -3) = 6 Reorder the terms: (-1 + x)(-2 + x)(x + -3) = 6 Reorder the terms: (-1 + x)(-2 + x)(-3 + x) = 6 Multiply (-1 + x) * (-2 + x) (-1(-2 + x) + x(-2 + x))(-3 + x) = 6 ((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 6 ((2 + -1x) + x(-2 + x))(-3 + x) = 6 (2 + -1x + (-2 * x + x * x))(-3 + x) = 6 (2 + -1x + (-2x + x2))(-3 + x) = 6 Combine like terms: -1x + -2x = -3x (2 + -3x + x2)(-3 + x) = 6 Multiply (2 + -3x + x2) * (-3 + x) (2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 6 ((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 6 ((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 6 (-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 6 (-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 6 (-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 6 (-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 6 Combine like terms: 2x + 9x = 11x (-6 + 11x + -3x2 + -3x2 + x3) = 6 Combine like terms: -3x2 + -3x2 = -6x2 (-6 + 11x + -6x2 + x3) = 6 Solving -6 + 11x + -6x2 + x3 = 6 Solving for variable 'x'. Reorder the terms: -6 + -6 + 11x + -6x2 + x3 = 6 + -6 Combine like terms: -6 + -6 = -12 -12 + 11x + -6x2 + x3 = 6 + -6 Combine like terms: 6 + -6 = 0 -12 + 11x + -6x2 + x3 = 0 The solution to this equation could not be determined.
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