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Simplifying (x + 3)(4x + -5)(x + 6) = 0 Reorder the terms: (3 + x)(4x + -5)(x + 6) = 0 Reorder the terms: (3 + x)(-5 + 4x)(x + 6) = 0 Reorder the terms: (3 + x)(-5 + 4x)(6 + x) = 0 Multiply (3 + x) * (-5 + 4x) (3(-5 + 4x) + x(-5 + 4x))(6 + x) = 0 ((-5 * 3 + 4x * 3) + x(-5 + 4x))(6 + x) = 0 ((-15 + 12x) + x(-5 + 4x))(6 + x) = 0 (-15 + 12x + (-5 * x + 4x * x))(6 + x) = 0 (-15 + 12x + (-5x + 4x2))(6 + x) = 0 Combine like terms: 12x + -5x = 7x (-15 + 7x + 4x2)(6 + x) = 0 Multiply (-15 + 7x + 4x2) * (6 + x) (-15(6 + x) + 7x * (6 + x) + 4x2 * (6 + x)) = 0 ((6 * -15 + x * -15) + 7x * (6 + x) + 4x2 * (6 + x)) = 0 ((-90 + -15x) + 7x * (6 + x) + 4x2 * (6 + x)) = 0 (-90 + -15x + (6 * 7x + x * 7x) + 4x2 * (6 + x)) = 0 (-90 + -15x + (42x + 7x2) + 4x2 * (6 + x)) = 0 (-90 + -15x + 42x + 7x2 + (6 * 4x2 + x * 4x2)) = 0 (-90 + -15x + 42x + 7x2 + (24x2 + 4x3)) = 0 Combine like terms: -15x + 42x = 27x (-90 + 27x + 7x2 + 24x2 + 4x3) = 0 Combine like terms: 7x2 + 24x2 = 31x2 (-90 + 27x + 31x2 + 4x3) = 0 Solving -90 + 27x + 31x2 + 4x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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