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Simplifying (-8x2 + -8x + 7)(5x2 + 4x + 1) = 0 Reorder the terms: (7 + -8x + -8x2)(5x2 + 4x + 1) = 0 Reorder the terms: (7 + -8x + -8x2)(1 + 4x + 5x2) = 0 Multiply (7 + -8x + -8x2) * (1 + 4x + 5x2) (7(1 + 4x + 5x2) + -8x * (1 + 4x + 5x2) + -8x2 * (1 + 4x + 5x2)) = 0 ((1 * 7 + 4x * 7 + 5x2 * 7) + -8x * (1 + 4x + 5x2) + -8x2 * (1 + 4x + 5x2)) = 0 ((7 + 28x + 35x2) + -8x * (1 + 4x + 5x2) + -8x2 * (1 + 4x + 5x2)) = 0 (7 + 28x + 35x2 + (1 * -8x + 4x * -8x + 5x2 * -8x) + -8x2 * (1 + 4x + 5x2)) = 0 (7 + 28x + 35x2 + (-8x + -32x2 + -40x3) + -8x2 * (1 + 4x + 5x2)) = 0 (7 + 28x + 35x2 + -8x + -32x2 + -40x3 + (1 * -8x2 + 4x * -8x2 + 5x2 * -8x2)) = 0 (7 + 28x + 35x2 + -8x + -32x2 + -40x3 + (-8x2 + -32x3 + -40x4)) = 0 Reorder the terms: (7 + 28x + -8x + 35x2 + -32x2 + -8x2 + -40x3 + -32x3 + -40x4) = 0 Combine like terms: 28x + -8x = 20x (7 + 20x + 35x2 + -32x2 + -8x2 + -40x3 + -32x3 + -40x4) = 0 Combine like terms: 35x2 + -32x2 = 3x2 (7 + 20x + 3x2 + -8x2 + -40x3 + -32x3 + -40x4) = 0 Combine like terms: 3x2 + -8x2 = -5x2 (7 + 20x + -5x2 + -40x3 + -32x3 + -40x4) = 0 Combine like terms: -40x3 + -32x3 = -72x3 (7 + 20x + -5x2 + -72x3 + -40x4) = 0 Solving 7 + 20x + -5x2 + -72x3 + -40x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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