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Simplifying (3x + 7)(4x + 5)(3x + -7) = 0 Reorder the terms: (7 + 3x)(4x + 5)(3x + -7) = 0 Reorder the terms: (7 + 3x)(5 + 4x)(3x + -7) = 0 Reorder the terms: (7 + 3x)(5 + 4x)(-7 + 3x) = 0 Multiply (7 + 3x) * (5 + 4x) (7(5 + 4x) + 3x * (5 + 4x))(-7 + 3x) = 0 ((5 * 7 + 4x * 7) + 3x * (5 + 4x))(-7 + 3x) = 0 ((35 + 28x) + 3x * (5 + 4x))(-7 + 3x) = 0 (35 + 28x + (5 * 3x + 4x * 3x))(-7 + 3x) = 0 (35 + 28x + (15x + 12x2))(-7 + 3x) = 0 Combine like terms: 28x + 15x = 43x (35 + 43x + 12x2)(-7 + 3x) = 0 Multiply (35 + 43x + 12x2) * (-7 + 3x) (35(-7 + 3x) + 43x * (-7 + 3x) + 12x2 * (-7 + 3x)) = 0 ((-7 * 35 + 3x * 35) + 43x * (-7 + 3x) + 12x2 * (-7 + 3x)) = 0 ((-245 + 105x) + 43x * (-7 + 3x) + 12x2 * (-7 + 3x)) = 0 (-245 + 105x + (-7 * 43x + 3x * 43x) + 12x2 * (-7 + 3x)) = 0 (-245 + 105x + (-301x + 129x2) + 12x2 * (-7 + 3x)) = 0 (-245 + 105x + -301x + 129x2 + (-7 * 12x2 + 3x * 12x2)) = 0 (-245 + 105x + -301x + 129x2 + (-84x2 + 36x3)) = 0 Combine like terms: 105x + -301x = -196x (-245 + -196x + 129x2 + -84x2 + 36x3) = 0 Combine like terms: 129x2 + -84x2 = 45x2 (-245 + -196x + 45x2 + 36x3) = 0 Solving -245 + -196x + 45x2 + 36x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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