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Simplifying (x + -2)(x + -3)(x + 4)(x + 5) = 170 Reorder the terms: (-2 + x)(x + -3)(x + 4)(x + 5) = 170 Reorder the terms: (-2 + x)(-3 + x)(x + 4)(x + 5) = 170 Reorder the terms: (-2 + x)(-3 + x)(4 + x)(x + 5) = 170 Reorder the terms: (-2 + x)(-3 + x)(4 + x)(5 + x) = 170 Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x))(4 + x)(5 + x) = 170 ((-3 * -2 + x * -2) + x(-3 + x))(4 + x)(5 + x) = 170 ((6 + -2x) + x(-3 + x))(4 + x)(5 + x) = 170 (6 + -2x + (-3 * x + x * x))(4 + x)(5 + x) = 170 (6 + -2x + (-3x + x2))(4 + x)(5 + x) = 170 Combine like terms: -2x + -3x = -5x (6 + -5x + x2)(4 + x)(5 + x) = 170 Multiply (6 + -5x + x2) * (4 + x) (6(4 + x) + -5x * (4 + x) + x2(4 + x))(5 + x) = 170 ((4 * 6 + x * 6) + -5x * (4 + x) + x2(4 + x))(5 + x) = 170 ((24 + 6x) + -5x * (4 + x) + x2(4 + x))(5 + x) = 170 (24 + 6x + (4 * -5x + x * -5x) + x2(4 + x))(5 + x) = 170 (24 + 6x + (-20x + -5x2) + x2(4 + x))(5 + x) = 170 (24 + 6x + -20x + -5x2 + (4 * x2 + x * x2))(5 + x) = 170 (24 + 6x + -20x + -5x2 + (4x2 + x3))(5 + x) = 170 Combine like terms: 6x + -20x = -14x (24 + -14x + -5x2 + 4x2 + x3)(5 + x) = 170 Combine like terms: -5x2 + 4x2 = -1x2 (24 + -14x + -1x2 + x3)(5 + x) = 170 Multiply (24 + -14x + -1x2 + x3) * (5 + x) (24(5 + x) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 170 ((5 * 24 + x * 24) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 170 ((120 + 24x) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 170 (120 + 24x + (5 * -14x + x * -14x) + -1x2 * (5 + x) + x3(5 + x)) = 170 (120 + 24x + (-70x + -14x2) + -1x2 * (5 + x) + x3(5 + x)) = 170 (120 + 24x + -70x + -14x2 + (5 * -1x2 + x * -1x2) + x3(5 + x)) = 170 (120 + 24x + -70x + -14x2 + (-5x2 + -1x3) + x3(5 + x)) = 170 (120 + 24x + -70x + -14x2 + -5x2 + -1x3 + (5 * x3 + x * x3)) = 170 (120 + 24x + -70x + -14x2 + -5x2 + -1x3 + (5x3 + x4)) = 170 Combine like terms: 24x + -70x = -46x (120 + -46x + -14x2 + -5x2 + -1x3 + 5x3 + x4) = 170 Combine like terms: -14x2 + -5x2 = -19x2 (120 + -46x + -19x2 + -1x3 + 5x3 + x4) = 170 Combine like terms: -1x3 + 5x3 = 4x3 (120 + -46x + -19x2 + 4x3 + x4) = 170 Solving 120 + -46x + -19x2 + 4x3 + x4 = 170 Solving for variable 'x'. Reorder the terms: 120 + -170 + -46x + -19x2 + 4x3 + x4 = 170 + -170 Combine like terms: 120 + -170 = -50 -50 + -46x + -19x2 + 4x3 + x4 = 170 + -170 Combine like terms: 170 + -170 = 0 -50 + -46x + -19x2 + 4x3 + x4 = 0 The solution to this equation could not be determined.
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