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Simplifying x(x + -1)(x + -2)(x + -3) = 24 Reorder the terms: x(-1 + x)(x + -2)(x + -3) = 24 Reorder the terms: x(-1 + x)(-2 + x)(x + -3) = 24 Reorder the terms: x(-1 + x)(-2 + x)(-3 + x) = 24 Multiply (-1 + x) * (-2 + x) x(-1(-2 + x) + x(-2 + x))(-3 + x) = 24 x((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 24 x((2 + -1x) + x(-2 + x))(-3 + x) = 24 x(2 + -1x + (-2 * x + x * x))(-3 + x) = 24 x(2 + -1x + (-2x + x2))(-3 + x) = 24 Combine like terms: -1x + -2x = -3x x(2 + -3x + x2)(-3 + x) = 24 Multiply (2 + -3x + x2) * (-3 + x) x(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 24 x((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 24 x((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 24 x(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 24 x(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 24 x(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 24 x(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 24 Combine like terms: 2x + 9x = 11x x(-6 + 11x + -3x2 + -3x2 + x3) = 24 Combine like terms: -3x2 + -3x2 = -6x2 x(-6 + 11x + -6x2 + x3) = 24 (-6 * x + 11x * x + -6x2 * x + x3 * x) = 24 (-6x + 11x2 + -6x3 + x4) = 24 Solving -6x + 11x2 + -6x3 + x4 = 24 Solving for variable 'x'. Reorder the terms: -24 + -6x + 11x2 + -6x3 + x4 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -6x + 11x2 + -6x3 + x4 = 0 The solution to this equation could not be determined.
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