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Simplifying (-1x2 + -5x + 6)(x2 + 6x + -7) = 0 Reorder the terms: (6 + -5x + -1x2)(x2 + 6x + -7) = 0 Reorder the terms: (6 + -5x + -1x2)(-7 + 6x + x2) = 0 Multiply (6 + -5x + -1x2) * (-7 + 6x + x2) (6(-7 + 6x + x2) + -5x * (-7 + 6x + x2) + -1x2 * (-7 + 6x + x2)) = 0 ((-7 * 6 + 6x * 6 + x2 * 6) + -5x * (-7 + 6x + x2) + -1x2 * (-7 + 6x + x2)) = 0 ((-42 + 36x + 6x2) + -5x * (-7 + 6x + x2) + -1x2 * (-7 + 6x + x2)) = 0 (-42 + 36x + 6x2 + (-7 * -5x + 6x * -5x + x2 * -5x) + -1x2 * (-7 + 6x + x2)) = 0 (-42 + 36x + 6x2 + (35x + -30x2 + -5x3) + -1x2 * (-7 + 6x + x2)) = 0 (-42 + 36x + 6x2 + 35x + -30x2 + -5x3 + (-7 * -1x2 + 6x * -1x2 + x2 * -1x2)) = 0 (-42 + 36x + 6x2 + 35x + -30x2 + -5x3 + (7x2 + -6x3 + -1x4)) = 0 Reorder the terms: (-42 + 36x + 35x + 6x2 + -30x2 + 7x2 + -5x3 + -6x3 + -1x4) = 0 Combine like terms: 36x + 35x = 71x (-42 + 71x + 6x2 + -30x2 + 7x2 + -5x3 + -6x3 + -1x4) = 0 Combine like terms: 6x2 + -30x2 = -24x2 (-42 + 71x + -24x2 + 7x2 + -5x3 + -6x3 + -1x4) = 0 Combine like terms: -24x2 + 7x2 = -17x2 (-42 + 71x + -17x2 + -5x3 + -6x3 + -1x4) = 0 Combine like terms: -5x3 + -6x3 = -11x3 (-42 + 71x + -17x2 + -11x3 + -1x4) = 0 Solving -42 + 71x + -17x2 + -11x3 + -1x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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