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Simplifying (4x2 + -2x + 5)(3x + 1) = 0 Reorder the terms: (5 + -2x + 4x2)(3x + 1) = 0 Reorder the terms: (5 + -2x + 4x2)(1 + 3x) = 0 Multiply (5 + -2x + 4x2) * (1 + 3x) (5(1 + 3x) + -2x * (1 + 3x) + 4x2 * (1 + 3x)) = 0 ((1 * 5 + 3x * 5) + -2x * (1 + 3x) + 4x2 * (1 + 3x)) = 0 ((5 + 15x) + -2x * (1 + 3x) + 4x2 * (1 + 3x)) = 0 (5 + 15x + (1 * -2x + 3x * -2x) + 4x2 * (1 + 3x)) = 0 (5 + 15x + (-2x + -6x2) + 4x2 * (1 + 3x)) = 0 (5 + 15x + -2x + -6x2 + (1 * 4x2 + 3x * 4x2)) = 0 (5 + 15x + -2x + -6x2 + (4x2 + 12x3)) = 0 Combine like terms: 15x + -2x = 13x (5 + 13x + -6x2 + 4x2 + 12x3) = 0 Combine like terms: -6x2 + 4x2 = -2x2 (5 + 13x + -2x2 + 12x3) = 0 Solving 5 + 13x + -2x2 + 12x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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