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Simplifying (5x2 + -1x + 3)(4 + -4x + -5x2) * x = 5 Reorder the terms: (3 + -1x + 5x2)(4 + -4x + -5x2) * x = 5 Reorder the terms for easier multiplication: x(3 + -1x + 5x2)(4 + -4x + -5x2) = 5 Multiply (3 + -1x + 5x2) * (4 + -4x + -5x2) x(3(4 + -4x + -5x2) + -1x * (4 + -4x + -5x2) + 5x2 * (4 + -4x + -5x2)) = 5 x((4 * 3 + -4x * 3 + -5x2 * 3) + -1x * (4 + -4x + -5x2) + 5x2 * (4 + -4x + -5x2)) = 5 x((12 + -12x + -15x2) + -1x * (4 + -4x + -5x2) + 5x2 * (4 + -4x + -5x2)) = 5 x(12 + -12x + -15x2 + (4 * -1x + -4x * -1x + -5x2 * -1x) + 5x2 * (4 + -4x + -5x2)) = 5 x(12 + -12x + -15x2 + (-4x + 4x2 + 5x3) + 5x2 * (4 + -4x + -5x2)) = 5 x(12 + -12x + -15x2 + -4x + 4x2 + 5x3 + (4 * 5x2 + -4x * 5x2 + -5x2 * 5x2)) = 5 x(12 + -12x + -15x2 + -4x + 4x2 + 5x3 + (20x2 + -20x3 + -25x4)) = 5 Reorder the terms: x(12 + -12x + -4x + -15x2 + 4x2 + 20x2 + 5x3 + -20x3 + -25x4) = 5 Combine like terms: -12x + -4x = -16x x(12 + -16x + -15x2 + 4x2 + 20x2 + 5x3 + -20x3 + -25x4) = 5 Combine like terms: -15x2 + 4x2 = -11x2 x(12 + -16x + -11x2 + 20x2 + 5x3 + -20x3 + -25x4) = 5 Combine like terms: -11x2 + 20x2 = 9x2 x(12 + -16x + 9x2 + 5x3 + -20x3 + -25x4) = 5 Combine like terms: 5x3 + -20x3 = -15x3 x(12 + -16x + 9x2 + -15x3 + -25x4) = 5 (12 * x + -16x * x + 9x2 * x + -15x3 * x + -25x4 * x) = 5 (12x + -16x2 + 9x3 + -15x4 + -25x5) = 5 Solving 12x + -16x2 + 9x3 + -15x4 + -25x5 = 5 Solving for variable 'x'. Reorder the terms: -5 + 12x + -16x2 + 9x3 + -15x4 + -25x5 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 12x + -16x2 + 9x3 + -15x4 + -25x5 = 0 The solution to this equation could not be determined.
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