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Simplifying (x + 6)(x + -7)(5x + -6) = 0 Reorder the terms: (6 + x)(x + -7)(5x + -6) = 0 Reorder the terms: (6 + x)(-7 + x)(5x + -6) = 0 Reorder the terms: (6 + x)(-7 + x)(-6 + 5x) = 0 Multiply (6 + x) * (-7 + x) (6(-7 + x) + x(-7 + x))(-6 + 5x) = 0 ((-7 * 6 + x * 6) + x(-7 + x))(-6 + 5x) = 0 ((-42 + 6x) + x(-7 + x))(-6 + 5x) = 0 (-42 + 6x + (-7 * x + x * x))(-6 + 5x) = 0 (-42 + 6x + (-7x + x2))(-6 + 5x) = 0 Combine like terms: 6x + -7x = -1x (-42 + -1x + x2)(-6 + 5x) = 0 Multiply (-42 + -1x + x2) * (-6 + 5x) (-42(-6 + 5x) + -1x * (-6 + 5x) + x2(-6 + 5x)) = 0 ((-6 * -42 + 5x * -42) + -1x * (-6 + 5x) + x2(-6 + 5x)) = 0 ((252 + -210x) + -1x * (-6 + 5x) + x2(-6 + 5x)) = 0 (252 + -210x + (-6 * -1x + 5x * -1x) + x2(-6 + 5x)) = 0 (252 + -210x + (6x + -5x2) + x2(-6 + 5x)) = 0 (252 + -210x + 6x + -5x2 + (-6 * x2 + 5x * x2)) = 0 (252 + -210x + 6x + -5x2 + (-6x2 + 5x3)) = 0 Combine like terms: -210x + 6x = -204x (252 + -204x + -5x2 + -6x2 + 5x3) = 0 Combine like terms: -5x2 + -6x2 = -11x2 (252 + -204x + -11x2 + 5x3) = 0 Solving 252 + -204x + -11x2 + 5x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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