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Simplifying (x + -1)(x + 4)(x + 5) = 84 Reorder the terms: (-1 + x)(x + 4)(x + 5) = 84 Reorder the terms: (-1 + x)(4 + x)(x + 5) = 84 Reorder the terms: (-1 + x)(4 + x)(5 + x) = 84 Multiply (-1 + x) * (4 + x) (-1(4 + x) + x(4 + x))(5 + x) = 84 ((4 * -1 + x * -1) + x(4 + x))(5 + x) = 84 ((-4 + -1x) + x(4 + x))(5 + x) = 84 (-4 + -1x + (4 * x + x * x))(5 + x) = 84 (-4 + -1x + (4x + x2))(5 + x) = 84 Combine like terms: -1x + 4x = 3x (-4 + 3x + x2)(5 + x) = 84 Multiply (-4 + 3x + x2) * (5 + x) (-4(5 + x) + 3x * (5 + x) + x2(5 + x)) = 84 ((5 * -4 + x * -4) + 3x * (5 + x) + x2(5 + x)) = 84 ((-20 + -4x) + 3x * (5 + x) + x2(5 + x)) = 84 (-20 + -4x + (5 * 3x + x * 3x) + x2(5 + x)) = 84 (-20 + -4x + (15x + 3x2) + x2(5 + x)) = 84 (-20 + -4x + 15x + 3x2 + (5 * x2 + x * x2)) = 84 (-20 + -4x + 15x + 3x2 + (5x2 + x3)) = 84 Combine like terms: -4x + 15x = 11x (-20 + 11x + 3x2 + 5x2 + x3) = 84 Combine like terms: 3x2 + 5x2 = 8x2 (-20 + 11x + 8x2 + x3) = 84 Solving -20 + 11x + 8x2 + x3 = 84 Solving for variable 'x'. Reorder the terms: -20 + -84 + 11x + 8x2 + x3 = 84 + -84 Combine like terms: -20 + -84 = -104 -104 + 11x + 8x2 + x3 = 84 + -84 Combine like terms: 84 + -84 = 0 -104 + 11x + 8x2 + x3 = 0 The solution to this equation could not be determined.
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