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Simplifying (5x3 + -4x2 + 5x + 6)(5x + 4) = 0 Reorder the terms: (6 + 5x + -4x2 + 5x3)(5x + 4) = 0 Reorder the terms: (6 + 5x + -4x2 + 5x3)(4 + 5x) = 0 Multiply (6 + 5x + -4x2 + 5x3) * (4 + 5x) (6(4 + 5x) + 5x * (4 + 5x) + -4x2 * (4 + 5x) + 5x3 * (4 + 5x)) = 0 ((4 * 6 + 5x * 6) + 5x * (4 + 5x) + -4x2 * (4 + 5x) + 5x3 * (4 + 5x)) = 0 ((24 + 30x) + 5x * (4 + 5x) + -4x2 * (4 + 5x) + 5x3 * (4 + 5x)) = 0 (24 + 30x + (4 * 5x + 5x * 5x) + -4x2 * (4 + 5x) + 5x3 * (4 + 5x)) = 0 (24 + 30x + (20x + 25x2) + -4x2 * (4 + 5x) + 5x3 * (4 + 5x)) = 0 (24 + 30x + 20x + 25x2 + (4 * -4x2 + 5x * -4x2) + 5x3 * (4 + 5x)) = 0 (24 + 30x + 20x + 25x2 + (-16x2 + -20x3) + 5x3 * (4 + 5x)) = 0 (24 + 30x + 20x + 25x2 + -16x2 + -20x3 + (4 * 5x3 + 5x * 5x3)) = 0 (24 + 30x + 20x + 25x2 + -16x2 + -20x3 + (20x3 + 25x4)) = 0 Combine like terms: 30x + 20x = 50x (24 + 50x + 25x2 + -16x2 + -20x3 + 20x3 + 25x4) = 0 Combine like terms: 25x2 + -16x2 = 9x2 (24 + 50x + 9x2 + -20x3 + 20x3 + 25x4) = 0 Combine like terms: -20x3 + 20x3 = 0 (24 + 50x + 9x2 + 0 + 25x4) = 0 (24 + 50x + 9x2 + 25x4) = 0 Solving 24 + 50x + 9x2 + 25x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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