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Simplifying (6x + -1)(2x + -7)(1 + -4x) = 0 Reorder the terms: (-1 + 6x)(2x + -7)(1 + -4x) = 0 Reorder the terms: (-1 + 6x)(-7 + 2x)(1 + -4x) = 0 Multiply (-1 + 6x) * (-7 + 2x) (-1(-7 + 2x) + 6x * (-7 + 2x))(1 + -4x) = 0 ((-7 * -1 + 2x * -1) + 6x * (-7 + 2x))(1 + -4x) = 0 ((7 + -2x) + 6x * (-7 + 2x))(1 + -4x) = 0 (7 + -2x + (-7 * 6x + 2x * 6x))(1 + -4x) = 0 (7 + -2x + (-42x + 12x2))(1 + -4x) = 0 Combine like terms: -2x + -42x = -44x (7 + -44x + 12x2)(1 + -4x) = 0 Multiply (7 + -44x + 12x2) * (1 + -4x) (7(1 + -4x) + -44x * (1 + -4x) + 12x2 * (1 + -4x)) = 0 ((1 * 7 + -4x * 7) + -44x * (1 + -4x) + 12x2 * (1 + -4x)) = 0 ((7 + -28x) + -44x * (1 + -4x) + 12x2 * (1 + -4x)) = 0 (7 + -28x + (1 * -44x + -4x * -44x) + 12x2 * (1 + -4x)) = 0 (7 + -28x + (-44x + 176x2) + 12x2 * (1 + -4x)) = 0 (7 + -28x + -44x + 176x2 + (1 * 12x2 + -4x * 12x2)) = 0 (7 + -28x + -44x + 176x2 + (12x2 + -48x3)) = 0 Combine like terms: -28x + -44x = -72x (7 + -72x + 176x2 + 12x2 + -48x3) = 0 Combine like terms: 176x2 + 12x2 = 188x2 (7 + -72x + 188x2 + -48x3) = 0 Solving 7 + -72x + 188x2 + -48x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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