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Simplifying (x + 5)(x + -5)(x + 1)(x + -6) = 0 Reorder the terms: (5 + x)(x + -5)(x + 1)(x + -6) = 0 Reorder the terms: (5 + x)(-5 + x)(x + 1)(x + -6) = 0 Reorder the terms: (5 + x)(-5 + x)(1 + x)(x + -6) = 0 Reorder the terms: (5 + x)(-5 + x)(1 + x)(-6 + x) = 0 Multiply (5 + x) * (-5 + x) (5(-5 + x) + x(-5 + x))(1 + x)(-6 + x) = 0 ((-5 * 5 + x * 5) + x(-5 + x))(1 + x)(-6 + x) = 0 ((-25 + 5x) + x(-5 + x))(1 + x)(-6 + x) = 0 (-25 + 5x + (-5 * x + x * x))(1 + x)(-6 + x) = 0 (-25 + 5x + (-5x + x2))(1 + x)(-6 + x) = 0 Combine like terms: 5x + -5x = 0 (-25 + 0 + x2)(1 + x)(-6 + x) = 0 (-25 + x2)(1 + x)(-6 + x) = 0 Multiply (-25 + x2) * (1 + x) (-25(1 + x) + x2(1 + x))(-6 + x) = 0 ((1 * -25 + x * -25) + x2(1 + x))(-6 + x) = 0 ((-25 + -25x) + x2(1 + x))(-6 + x) = 0 (-25 + -25x + (1 * x2 + x * x2))(-6 + x) = 0 (-25 + -25x + (1x2 + x3))(-6 + x) = 0 (-25 + -25x + 1x2 + x3)(-6 + x) = 0 Multiply (-25 + -25x + 1x2 + x3) * (-6 + x) (-25(-6 + x) + -25x * (-6 + x) + 1x2 * (-6 + x) + x3(-6 + x)) = 0 ((-6 * -25 + x * -25) + -25x * (-6 + x) + 1x2 * (-6 + x) + x3(-6 + x)) = 0 ((150 + -25x) + -25x * (-6 + x) + 1x2 * (-6 + x) + x3(-6 + x)) = 0 (150 + -25x + (-6 * -25x + x * -25x) + 1x2 * (-6 + x) + x3(-6 + x)) = 0 (150 + -25x + (150x + -25x2) + 1x2 * (-6 + x) + x3(-6 + x)) = 0 (150 + -25x + 150x + -25x2 + (-6 * 1x2 + x * 1x2) + x3(-6 + x)) = 0 (150 + -25x + 150x + -25x2 + (-6x2 + 1x3) + x3(-6 + x)) = 0 (150 + -25x + 150x + -25x2 + -6x2 + 1x3 + (-6 * x3 + x * x3)) = 0 (150 + -25x + 150x + -25x2 + -6x2 + 1x3 + (-6x3 + x4)) = 0 Combine like terms: -25x + 150x = 125x (150 + 125x + -25x2 + -6x2 + 1x3 + -6x3 + x4) = 0 Combine like terms: -25x2 + -6x2 = -31x2 (150 + 125x + -31x2 + 1x3 + -6x3 + x4) = 0 Combine like terms: 1x3 + -6x3 = -5x3 (150 + 125x + -31x2 + -5x3 + x4) = 0 Solving 150 + 125x + -31x2 + -5x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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