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Simplifying (2x2 + -5x + 8)(3x + 2) = 0 Reorder the terms: (8 + -5x + 2x2)(3x + 2) = 0 Reorder the terms: (8 + -5x + 2x2)(2 + 3x) = 0 Multiply (8 + -5x + 2x2) * (2 + 3x) (8(2 + 3x) + -5x * (2 + 3x) + 2x2 * (2 + 3x)) = 0 ((2 * 8 + 3x * 8) + -5x * (2 + 3x) + 2x2 * (2 + 3x)) = 0 ((16 + 24x) + -5x * (2 + 3x) + 2x2 * (2 + 3x)) = 0 (16 + 24x + (2 * -5x + 3x * -5x) + 2x2 * (2 + 3x)) = 0 (16 + 24x + (-10x + -15x2) + 2x2 * (2 + 3x)) = 0 (16 + 24x + -10x + -15x2 + (2 * 2x2 + 3x * 2x2)) = 0 (16 + 24x + -10x + -15x2 + (4x2 + 6x3)) = 0 Combine like terms: 24x + -10x = 14x (16 + 14x + -15x2 + 4x2 + 6x3) = 0 Combine like terms: -15x2 + 4x2 = -11x2 (16 + 14x + -11x2 + 6x3) = 0 Solving 16 + 14x + -11x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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