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Simplifying (2x + -5)(x + 4)(3x + -7) = 0 Reorder the terms: (-5 + 2x)(x + 4)(3x + -7) = 0 Reorder the terms: (-5 + 2x)(4 + x)(3x + -7) = 0 Reorder the terms: (-5 + 2x)(4 + x)(-7 + 3x) = 0 Multiply (-5 + 2x) * (4 + x) (-5(4 + x) + 2x * (4 + x))(-7 + 3x) = 0 ((4 * -5 + x * -5) + 2x * (4 + x))(-7 + 3x) = 0 ((-20 + -5x) + 2x * (4 + x))(-7 + 3x) = 0 (-20 + -5x + (4 * 2x + x * 2x))(-7 + 3x) = 0 (-20 + -5x + (8x + 2x2))(-7 + 3x) = 0 Combine like terms: -5x + 8x = 3x (-20 + 3x + 2x2)(-7 + 3x) = 0 Multiply (-20 + 3x + 2x2) * (-7 + 3x) (-20(-7 + 3x) + 3x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 ((-7 * -20 + 3x * -20) + 3x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 ((140 + -60x) + 3x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 (140 + -60x + (-7 * 3x + 3x * 3x) + 2x2 * (-7 + 3x)) = 0 (140 + -60x + (-21x + 9x2) + 2x2 * (-7 + 3x)) = 0 (140 + -60x + -21x + 9x2 + (-7 * 2x2 + 3x * 2x2)) = 0 (140 + -60x + -21x + 9x2 + (-14x2 + 6x3)) = 0 Combine like terms: -60x + -21x = -81x (140 + -81x + 9x2 + -14x2 + 6x3) = 0 Combine like terms: 9x2 + -14x2 = -5x2 (140 + -81x + -5x2 + 6x3) = 0 Solving 140 + -81x + -5x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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