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Simplifying (x2 + -3x + 7)(x2 + x + 5) = 43 Reorder the terms: (7 + -3x + x2)(x2 + x + 5) = 43 Reorder the terms: (7 + -3x + x2)(5 + x + x2) = 43 Multiply (7 + -3x + x2) * (5 + x + x2) (7(5 + x + x2) + -3x * (5 + x + x2) + x2(5 + x + x2)) = 43 ((5 * 7 + x * 7 + x2 * 7) + -3x * (5 + x + x2) + x2(5 + x + x2)) = 43 ((35 + 7x + 7x2) + -3x * (5 + x + x2) + x2(5 + x + x2)) = 43 (35 + 7x + 7x2 + (5 * -3x + x * -3x + x2 * -3x) + x2(5 + x + x2)) = 43 (35 + 7x + 7x2 + (-15x + -3x2 + -3x3) + x2(5 + x + x2)) = 43 (35 + 7x + 7x2 + -15x + -3x2 + -3x3 + (5 * x2 + x * x2 + x2 * x2)) = 43 (35 + 7x + 7x2 + -15x + -3x2 + -3x3 + (5x2 + x3 + x4)) = 43 Reorder the terms: (35 + 7x + -15x + 7x2 + -3x2 + 5x2 + -3x3 + x3 + x4) = 43 Combine like terms: 7x + -15x = -8x (35 + -8x + 7x2 + -3x2 + 5x2 + -3x3 + x3 + x4) = 43 Combine like terms: 7x2 + -3x2 = 4x2 (35 + -8x + 4x2 + 5x2 + -3x3 + x3 + x4) = 43 Combine like terms: 4x2 + 5x2 = 9x2 (35 + -8x + 9x2 + -3x3 + x3 + x4) = 43 Combine like terms: -3x3 + x3 = -2x3 (35 + -8x + 9x2 + -2x3 + x4) = 43 Solving 35 + -8x + 9x2 + -2x3 + x4 = 43 Solving for variable 'x'. Reorder the terms: 35 + -43 + -8x + 9x2 + -2x3 + x4 = 43 + -43 Combine like terms: 35 + -43 = -8 -8 + -8x + 9x2 + -2x3 + x4 = 43 + -43 Combine like terms: 43 + -43 = 0 -8 + -8x + 9x2 + -2x3 + x4 = 0 The solution to this equation could not be determined.
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