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Simplifying (x + 3)(x + 8)(x2 + -2x)(2x + -3) = 43 Reorder the terms: (3 + x)(x + 8)(x2 + -2x)(2x + -3) = 43 Reorder the terms: (3 + x)(8 + x)(x2 + -2x)(2x + -3) = 43 Reorder the terms: (3 + x)(8 + x)(-2x + x2)(2x + -3) = 43 Reorder the terms: (3 + x)(8 + x)(-2x + x2)(-3 + 2x) = 43 Multiply (3 + x) * (8 + x) (3(8 + x) + x(8 + x))(-2x + x2)(-3 + 2x) = 43 ((8 * 3 + x * 3) + x(8 + x))(-2x + x2)(-3 + 2x) = 43 ((24 + 3x) + x(8 + x))(-2x + x2)(-3 + 2x) = 43 (24 + 3x + (8 * x + x * x))(-2x + x2)(-3 + 2x) = 43 (24 + 3x + (8x + x2))(-2x + x2)(-3 + 2x) = 43 Combine like terms: 3x + 8x = 11x (24 + 11x + x2)(-2x + x2)(-3 + 2x) = 43 Multiply (24 + 11x + x2) * (-2x + x2) (24(-2x + x2) + 11x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 43 ((-2x * 24 + x2 * 24) + 11x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 43 ((-48x + 24x2) + 11x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 43 (-48x + 24x2 + (-2x * 11x + x2 * 11x) + x2(-2x + x2))(-3 + 2x) = 43 (-48x + 24x2 + (-22x2 + 11x3) + x2(-2x + x2))(-3 + 2x) = 43 (-48x + 24x2 + -22x2 + 11x3 + (-2x * x2 + x2 * x2))(-3 + 2x) = 43 (-48x + 24x2 + -22x2 + 11x3 + (-2x3 + x4))(-3 + 2x) = 43 Combine like terms: 24x2 + -22x2 = 2x2 (-48x + 2x2 + 11x3 + -2x3 + x4)(-3 + 2x) = 43 Combine like terms: 11x3 + -2x3 = 9x3 (-48x + 2x2 + 9x3 + x4)(-3 + 2x) = 43 Multiply (-48x + 2x2 + 9x3 + x4) * (-3 + 2x) (-48x * (-3 + 2x) + 2x2 * (-3 + 2x) + 9x3 * (-3 + 2x) + x4(-3 + 2x)) = 43 ((-3 * -48x + 2x * -48x) + 2x2 * (-3 + 2x) + 9x3 * (-3 + 2x) + x4(-3 + 2x)) = 43 ((144x + -96x2) + 2x2 * (-3 + 2x) + 9x3 * (-3 + 2x) + x4(-3 + 2x)) = 43 (144x + -96x2 + (-3 * 2x2 + 2x * 2x2) + 9x3 * (-3 + 2x) + x4(-3 + 2x)) = 43 (144x + -96x2 + (-6x2 + 4x3) + 9x3 * (-3 + 2x) + x4(-3 + 2x)) = 43 (144x + -96x2 + -6x2 + 4x3 + (-3 * 9x3 + 2x * 9x3) + x4(-3 + 2x)) = 43 (144x + -96x2 + -6x2 + 4x3 + (-27x3 + 18x4) + x4(-3 + 2x)) = 43 (144x + -96x2 + -6x2 + 4x3 + -27x3 + 18x4 + (-3 * x4 + 2x * x4)) = 43 (144x + -96x2 + -6x2 + 4x3 + -27x3 + 18x4 + (-3x4 + 2x5)) = 43 Combine like terms: -96x2 + -6x2 = -102x2 (144x + -102x2 + 4x3 + -27x3 + 18x4 + -3x4 + 2x5) = 43 Combine like terms: 4x3 + -27x3 = -23x3 (144x + -102x2 + -23x3 + 18x4 + -3x4 + 2x5) = 43 Combine like terms: 18x4 + -3x4 = 15x4 (144x + -102x2 + -23x3 + 15x4 + 2x5) = 43 Solving 144x + -102x2 + -23x3 + 15x4 + 2x5 = 43 Solving for variable 'x'. Reorder the terms: -43 + 144x + -102x2 + -23x3 + 15x4 + 2x5 = 43 + -43 Combine like terms: 43 + -43 = 0 -43 + 144x + -102x2 + -23x3 + 15x4 + 2x5 = 0 The solution to this equation could not be determined.
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