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Simplifying (2x4 + 5x3 + -8x2 + -1x + 10) * and(8x4 + -4x3 + x2 + -1x + 2) = 0 Reorder the terms: (10 + -1x + -8x2 + 5x3 + 2x4) * and(8x4 + -4x3 + x2 + -1x + 2) = 0 Reorder the terms: (10 + -1x + -8x2 + 5x3 + 2x4) * adn(2 + -1x + x2 + -4x3 + 8x4) = 0 Reorder the terms for easier multiplication: adn(10 + -1x + -8x2 + 5x3 + 2x4)(2 + -1x + x2 + -4x3 + 8x4) = 0 Multiply (10 + -1x + -8x2 + 5x3 + 2x4) * (2 + -1x + x2 + -4x3 + 8x4) adn(10(2 + -1x + x2 + -4x3 + 8x4) + -1x * (2 + -1x + x2 + -4x3 + 8x4) + -8x2 * (2 + -1x + x2 + -4x3 + 8x4) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn((2 * 10 + -1x * 10 + x2 * 10 + -4x3 * 10 + 8x4 * 10) + -1x * (2 + -1x + x2 + -4x3 + 8x4) + -8x2 * (2 + -1x + x2 + -4x3 + 8x4) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn((20 + -10x + 10x2 + -40x3 + 80x4) + -1x * (2 + -1x + x2 + -4x3 + 8x4) + -8x2 * (2 + -1x + x2 + -4x3 + 8x4) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + (2 * -1x + -1x * -1x + x2 * -1x + -4x3 * -1x + 8x4 * -1x) + -8x2 * (2 + -1x + x2 + -4x3 + 8x4) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + (-2x + 1x2 + -1x3 + 4x4 + -8x5) + -8x2 * (2 + -1x + x2 + -4x3 + 8x4) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + (2 * -8x2 + -1x * -8x2 + x2 * -8x2 + -4x3 * -8x2 + 8x4 * -8x2) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + (-16x2 + 8x3 + -8x4 + 32x5 + -64x6) + 5x3 * (2 + -1x + x2 + -4x3 + 8x4) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + -16x2 + 8x3 + -8x4 + 32x5 + -64x6 + (2 * 5x3 + -1x * 5x3 + x2 * 5x3 + -4x3 * 5x3 + 8x4 * 5x3) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + -16x2 + 8x3 + -8x4 + 32x5 + -64x6 + (10x3 + -5x4 + 5x5 + -20x6 + 40x7) + 2x4 * (2 + -1x + x2 + -4x3 + 8x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + -16x2 + 8x3 + -8x4 + 32x5 + -64x6 + 10x3 + -5x4 + 5x5 + -20x6 + 40x7 + (2 * 2x4 + -1x * 2x4 + x2 * 2x4 + -4x3 * 2x4 + 8x4 * 2x4)) = 0 adn(20 + -10x + 10x2 + -40x3 + 80x4 + -2x + 1x2 + -1x3 + 4x4 + -8x5 + -16x2 + 8x3 + -8x4 + 32x5 + -64x6 + 10x3 + -5x4 + 5x5 + -20x6 + 40x7 + (4x4 + -2x5 + 2x6 + -8x7 + 16x8)) = 0 Reorder the terms: adn(20 + -10x + -2x + 10x2 + 1x2 + -16x2 + -40x3 + -1x3 + 8x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -10x + -2x = -12x adn(20 + -12x + 10x2 + 1x2 + -16x2 + -40x3 + -1x3 + 8x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 10x2 + 1x2 = 11x2 adn(20 + -12x + 11x2 + -16x2 + -40x3 + -1x3 + 8x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 11x2 + -16x2 = -5x2 adn(20 + -12x + -5x2 + -40x3 + -1x3 + 8x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -40x3 + -1x3 = -41x3 adn(20 + -12x + -5x2 + -41x3 + 8x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -41x3 + 8x3 = -33x3 adn(20 + -12x + -5x2 + -33x3 + 10x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -33x3 + 10x3 = -23x3 adn(20 + -12x + -5x2 + -23x3 + 80x4 + 4x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 80x4 + 4x4 = 84x4 adn(20 + -12x + -5x2 + -23x3 + 84x4 + -8x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 84x4 + -8x4 = 76x4 adn(20 + -12x + -5x2 + -23x3 + 76x4 + -5x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 76x4 + -5x4 = 71x4 adn(20 + -12x + -5x2 + -23x3 + 71x4 + 4x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 71x4 + 4x4 = 75x4 adn(20 + -12x + -5x2 + -23x3 + 75x4 + -8x5 + 32x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -8x5 + 32x5 = 24x5 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 24x5 + 5x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 24x5 + 5x5 = 29x5 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 29x5 + -2x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 29x5 + -2x5 = 27x5 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -64x6 + -20x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -64x6 + -20x6 = -84x6 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -84x6 + 2x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: -84x6 + 2x6 = -82x6 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 40x7 + -8x7 + 16x8) = 0 Combine like terms: 40x7 + -8x7 = 32x7 adn(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8) = 0 (20 * adn + -12x * adn + -5x2 * adn + -23x3 * adn + 75x4 * adn + 27x5 * adn + -82x6 * adn + 32x7 * adn + 16x8 * adn) = 0 (20adn + -12adnx + -5adnx2 + -23adnx3 + 75adnx4 + 27adnx5 + -82adnx6 + 32adnx7 + 16adnx8) = 0 Solving 20adn + -12adnx + -5adnx2 + -23adnx3 + 75adnx4 + 27adnx5 + -82adnx6 + 32adnx7 + 16adnx8 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'adn'. adn(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8) = 0Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve: Simplifying adn = 0 Solving adn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8)' equal to zero and attempt to solve: Simplifying 20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = 0 Solving 20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = 0 Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + -20 + 16x8 = 0 + -20 Reorder the terms: 20 + -20 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = 0 + -20 -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = 0 + -20 Combine like terms: 0 + -20 = -20 -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 Add '12x' to each side of the equation. -12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 12x + 16x8 = -20 + 12x Reorder the terms: -12x + 12x + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x Combine like terms: -12x + 12x = 0 0 + -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x Add '5x2' to each side of the equation. -5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 5x2 + 16x8 = -20 + 12x + 5x2 Reorder the terms: -5x2 + 5x2 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 Combine like terms: -5x2 + 5x2 = 0 0 + -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 Add '23x3' to each side of the equation. -23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 23x3 + 16x8 = -20 + 12x + 5x2 + 23x3 Reorder the terms: -23x3 + 23x3 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 Combine like terms: -23x3 + 23x3 = 0 0 + 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 Add '-75x4' to each side of the equation. 75x4 + 27x5 + -82x6 + 32x7 + -75x4 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 Reorder the terms: 75x4 + -75x4 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 Combine like terms: 75x4 + -75x4 = 0 0 + 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 Add '-27x5' to each side of the equation. 27x5 + -82x6 + 32x7 + -27x5 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 Reorder the terms: 27x5 + -27x5 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 Combine like terms: 27x5 + -27x5 = 0 0 + -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 -82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 Add '82x6' to each side of the equation. -82x6 + 32x7 + 82x6 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 Reorder the terms: -82x6 + 82x6 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 Combine like terms: -82x6 + 82x6 = 0 0 + 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 Add '-32x7' to each side of the equation. 32x7 + -32x7 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 Combine like terms: 32x7 + -32x7 = 0 0 + 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 Add '-16x8' to each side of the equation. 16x8 + -16x8 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 + -16x8 Combine like terms: 16x8 + -16x8 = 0 0 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 + -16x8 Simplifying 0 = -20 + 12x + 5x2 + 23x3 + -75x4 + -27x5 + 82x6 + -32x7 + -16x8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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