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Simplifying (5x + -2)(3x + 4)(4x + -3) = 0 Reorder the terms: (-2 + 5x)(3x + 4)(4x + -3) = 0 Reorder the terms: (-2 + 5x)(4 + 3x)(4x + -3) = 0 Reorder the terms: (-2 + 5x)(4 + 3x)(-3 + 4x) = 0 Multiply (-2 + 5x) * (4 + 3x) (-2(4 + 3x) + 5x * (4 + 3x))(-3 + 4x) = 0 ((4 * -2 + 3x * -2) + 5x * (4 + 3x))(-3 + 4x) = 0 ((-8 + -6x) + 5x * (4 + 3x))(-3 + 4x) = 0 (-8 + -6x + (4 * 5x + 3x * 5x))(-3 + 4x) = 0 (-8 + -6x + (20x + 15x2))(-3 + 4x) = 0 Combine like terms: -6x + 20x = 14x (-8 + 14x + 15x2)(-3 + 4x) = 0 Multiply (-8 + 14x + 15x2) * (-3 + 4x) (-8(-3 + 4x) + 14x * (-3 + 4x) + 15x2 * (-3 + 4x)) = 0 ((-3 * -8 + 4x * -8) + 14x * (-3 + 4x) + 15x2 * (-3 + 4x)) = 0 ((24 + -32x) + 14x * (-3 + 4x) + 15x2 * (-3 + 4x)) = 0 (24 + -32x + (-3 * 14x + 4x * 14x) + 15x2 * (-3 + 4x)) = 0 (24 + -32x + (-42x + 56x2) + 15x2 * (-3 + 4x)) = 0 (24 + -32x + -42x + 56x2 + (-3 * 15x2 + 4x * 15x2)) = 0 (24 + -32x + -42x + 56x2 + (-45x2 + 60x3)) = 0 Combine like terms: -32x + -42x = -74x (24 + -74x + 56x2 + -45x2 + 60x3) = 0 Combine like terms: 56x2 + -45x2 = 11x2 (24 + -74x + 11x2 + 60x3) = 0 Solving 24 + -74x + 11x2 + 60x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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