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Simplifying (x + -2)(x + -3)(x + -4) = 6 Reorder the terms: (-2 + x)(x + -3)(x + -4) = 6 Reorder the terms: (-2 + x)(-3 + x)(x + -4) = 6 Reorder the terms: (-2 + x)(-3 + x)(-4 + x) = 6 Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x))(-4 + x) = 6 ((-3 * -2 + x * -2) + x(-3 + x))(-4 + x) = 6 ((6 + -2x) + x(-3 + x))(-4 + x) = 6 (6 + -2x + (-3 * x + x * x))(-4 + x) = 6 (6 + -2x + (-3x + x2))(-4 + x) = 6 Combine like terms: -2x + -3x = -5x (6 + -5x + x2)(-4 + x) = 6 Multiply (6 + -5x + x2) * (-4 + x) (6(-4 + x) + -5x * (-4 + x) + x2(-4 + x)) = 6 ((-4 * 6 + x * 6) + -5x * (-4 + x) + x2(-4 + x)) = 6 ((-24 + 6x) + -5x * (-4 + x) + x2(-4 + x)) = 6 (-24 + 6x + (-4 * -5x + x * -5x) + x2(-4 + x)) = 6 (-24 + 6x + (20x + -5x2) + x2(-4 + x)) = 6 (-24 + 6x + 20x + -5x2 + (-4 * x2 + x * x2)) = 6 (-24 + 6x + 20x + -5x2 + (-4x2 + x3)) = 6 Combine like terms: 6x + 20x = 26x (-24 + 26x + -5x2 + -4x2 + x3) = 6 Combine like terms: -5x2 + -4x2 = -9x2 (-24 + 26x + -9x2 + x3) = 6 Solving -24 + 26x + -9x2 + x3 = 6 Solving for variable 'x'. Reorder the terms: -24 + -6 + 26x + -9x2 + x3 = 6 + -6 Combine like terms: -24 + -6 = -30 -30 + 26x + -9x2 + x3 = 6 + -6 Combine like terms: 6 + -6 = 0 -30 + 26x + -9x2 + x3 = 0 The solution to this equation could not be determined.
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