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Simplifying (x2 + -5x + 6)(x2 + -6x + 7) = 0 Reorder the terms: (6 + -5x + x2)(x2 + -6x + 7) = 0 Reorder the terms: (6 + -5x + x2)(7 + -6x + x2) = 0 Multiply (6 + -5x + x2) * (7 + -6x + x2) (6(7 + -6x + x2) + -5x * (7 + -6x + x2) + x2(7 + -6x + x2)) = 0 ((7 * 6 + -6x * 6 + x2 * 6) + -5x * (7 + -6x + x2) + x2(7 + -6x + x2)) = 0 ((42 + -36x + 6x2) + -5x * (7 + -6x + x2) + x2(7 + -6x + x2)) = 0 (42 + -36x + 6x2 + (7 * -5x + -6x * -5x + x2 * -5x) + x2(7 + -6x + x2)) = 0 (42 + -36x + 6x2 + (-35x + 30x2 + -5x3) + x2(7 + -6x + x2)) = 0 (42 + -36x + 6x2 + -35x + 30x2 + -5x3 + (7 * x2 + -6x * x2 + x2 * x2)) = 0 (42 + -36x + 6x2 + -35x + 30x2 + -5x3 + (7x2 + -6x3 + x4)) = 0 Reorder the terms: (42 + -36x + -35x + 6x2 + 30x2 + 7x2 + -5x3 + -6x3 + x4) = 0 Combine like terms: -36x + -35x = -71x (42 + -71x + 6x2 + 30x2 + 7x2 + -5x3 + -6x3 + x4) = 0 Combine like terms: 6x2 + 30x2 = 36x2 (42 + -71x + 36x2 + 7x2 + -5x3 + -6x3 + x4) = 0 Combine like terms: 36x2 + 7x2 = 43x2 (42 + -71x + 43x2 + -5x3 + -6x3 + x4) = 0 Combine like terms: -5x3 + -6x3 = -11x3 (42 + -71x + 43x2 + -11x3 + x4) = 0 Solving 42 + -71x + 43x2 + -11x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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