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Simplifying (x + -3)(x + 5)(x + -11)(2x + 3) = 0 Reorder the terms: (-3 + x)(x + 5)(x + -11)(2x + 3) = 0 Reorder the terms: (-3 + x)(5 + x)(x + -11)(2x + 3) = 0 Reorder the terms: (-3 + x)(5 + x)(-11 + x)(2x + 3) = 0 Reorder the terms: (-3 + x)(5 + x)(-11 + x)(3 + 2x) = 0 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x))(-11 + x)(3 + 2x) = 0 ((5 * -3 + x * -3) + x(5 + x))(-11 + x)(3 + 2x) = 0 ((-15 + -3x) + x(5 + x))(-11 + x)(3 + 2x) = 0 (-15 + -3x + (5 * x + x * x))(-11 + x)(3 + 2x) = 0 (-15 + -3x + (5x + x2))(-11 + x)(3 + 2x) = 0 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2)(-11 + x)(3 + 2x) = 0 Multiply (-15 + 2x + x2) * (-11 + x) (-15(-11 + x) + 2x * (-11 + x) + x2(-11 + x))(3 + 2x) = 0 ((-11 * -15 + x * -15) + 2x * (-11 + x) + x2(-11 + x))(3 + 2x) = 0 ((165 + -15x) + 2x * (-11 + x) + x2(-11 + x))(3 + 2x) = 0 (165 + -15x + (-11 * 2x + x * 2x) + x2(-11 + x))(3 + 2x) = 0 (165 + -15x + (-22x + 2x2) + x2(-11 + x))(3 + 2x) = 0 (165 + -15x + -22x + 2x2 + (-11 * x2 + x * x2))(3 + 2x) = 0 (165 + -15x + -22x + 2x2 + (-11x2 + x3))(3 + 2x) = 0 Combine like terms: -15x + -22x = -37x (165 + -37x + 2x2 + -11x2 + x3)(3 + 2x) = 0 Combine like terms: 2x2 + -11x2 = -9x2 (165 + -37x + -9x2 + x3)(3 + 2x) = 0 Multiply (165 + -37x + -9x2 + x3) * (3 + 2x) (165(3 + 2x) + -37x * (3 + 2x) + -9x2 * (3 + 2x) + x3(3 + 2x)) = 0 ((3 * 165 + 2x * 165) + -37x * (3 + 2x) + -9x2 * (3 + 2x) + x3(3 + 2x)) = 0 ((495 + 330x) + -37x * (3 + 2x) + -9x2 * (3 + 2x) + x3(3 + 2x)) = 0 (495 + 330x + (3 * -37x + 2x * -37x) + -9x2 * (3 + 2x) + x3(3 + 2x)) = 0 (495 + 330x + (-111x + -74x2) + -9x2 * (3 + 2x) + x3(3 + 2x)) = 0 (495 + 330x + -111x + -74x2 + (3 * -9x2 + 2x * -9x2) + x3(3 + 2x)) = 0 (495 + 330x + -111x + -74x2 + (-27x2 + -18x3) + x3(3 + 2x)) = 0 (495 + 330x + -111x + -74x2 + -27x2 + -18x3 + (3 * x3 + 2x * x3)) = 0 (495 + 330x + -111x + -74x2 + -27x2 + -18x3 + (3x3 + 2x4)) = 0 Combine like terms: 330x + -111x = 219x (495 + 219x + -74x2 + -27x2 + -18x3 + 3x3 + 2x4) = 0 Combine like terms: -74x2 + -27x2 = -101x2 (495 + 219x + -101x2 + -18x3 + 3x3 + 2x4) = 0 Combine like terms: -18x3 + 3x3 = -15x3 (495 + 219x + -101x2 + -15x3 + 2x4) = 0 Solving 495 + 219x + -101x2 + -15x3 + 2x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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