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Simplifying -379X5 + 20x4 + 60x3 + 60x2 + 100x + 280 = 0 Reorder the terms: 280 + -379X5 + 100x + 60x2 + 60x3 + 20x4 = 0 Solving 280 + -379X5 + 100x + 60x2 + 60x3 + 20x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -379X5 + 100x + 60x2 + 60x3 + -280 + 20x4 = 0 + -280 Reorder the terms: 280 + -280 + -379X5 + 100x + 60x2 + 60x3 + 20x4 = 0 + -280 Combine like terms: 280 + -280 = 0 0 + -379X5 + 100x + 60x2 + 60x3 + 20x4 = 0 + -280 -379X5 + 100x + 60x2 + 60x3 + 20x4 = 0 + -280 Combine like terms: 0 + -280 = -280 -379X5 + 100x + 60x2 + 60x3 + 20x4 = -280 Add '-100x' to each side of the equation. -379X5 + 100x + 60x2 + 60x3 + -100x + 20x4 = -280 + -100x Reorder the terms: -379X5 + 100x + -100x + 60x2 + 60x3 + 20x4 = -280 + -100x Combine like terms: 100x + -100x = 0 -379X5 + 0 + 60x2 + 60x3 + 20x4 = -280 + -100x -379X5 + 60x2 + 60x3 + 20x4 = -280 + -100x Add '-60x2' to each side of the equation. -379X5 + 60x2 + 60x3 + -60x2 + 20x4 = -280 + -100x + -60x2 Reorder the terms: -379X5 + 60x2 + -60x2 + 60x3 + 20x4 = -280 + -100x + -60x2 Combine like terms: 60x2 + -60x2 = 0 -379X5 + 0 + 60x3 + 20x4 = -280 + -100x + -60x2 -379X5 + 60x3 + 20x4 = -280 + -100x + -60x2 Add '-60x3' to each side of the equation. -379X5 + 60x3 + -60x3 + 20x4 = -280 + -100x + -60x2 + -60x3 Combine like terms: 60x3 + -60x3 = 0 -379X5 + 0 + 20x4 = -280 + -100x + -60x2 + -60x3 -379X5 + 20x4 = -280 + -100x + -60x2 + -60x3 Add '-20x4' to each side of the equation. -379X5 + 20x4 + -20x4 = -280 + -100x + -60x2 + -60x3 + -20x4 Combine like terms: 20x4 + -20x4 = 0 -379X5 + 0 = -280 + -100x + -60x2 + -60x3 + -20x4 -379X5 = -280 + -100x + -60x2 + -60x3 + -20x4 Divide each side by '-379'. X5 = 0.7387862797 + 0.2638522427x + 0.1583113456x2 + 0.1583113456x3 + 0.05277044855x4 Simplifying X5 = 0.7387862797 + 0.2638522427x + 0.1583113456x2 + 0.1583113456x3 + 0.05277044855x4 Reorder the terms: -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.7387862797 + 0.2638522427x + 0.1583113456x2 + 0.1583113456x3 + 0.05277044855x4 + -0.7387862797 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 Reorder the terms: -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.7387862797 + -0.7387862797 + 0.2638522427x + -0.2638522427x + 0.1583113456x2 + -0.1583113456x2 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 Combine like terms: 0.7387862797 + -0.7387862797 = 0.0000000000 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.0000000000 + 0.2638522427x + -0.2638522427x + 0.1583113456x2 + -0.1583113456x2 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.2638522427x + -0.2638522427x + 0.1583113456x2 + -0.1583113456x2 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 Combine like terms: 0.2638522427x + -0.2638522427x = 0.0000000000 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.0000000000 + 0.1583113456x2 + -0.1583113456x2 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.1583113456x2 + -0.1583113456x2 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 Combine like terms: 0.1583113456x2 + -0.1583113456x2 = 0.0000000000 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.0000000000 + 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.1583113456x3 + -0.1583113456x3 + 0.05277044855x4 + -0.05277044855x4 Combine like terms: 0.1583113456x3 + -0.1583113456x3 = 0.0000000000 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.0000000000 + 0.05277044855x4 + -0.05277044855x4 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.05277044855x4 + -0.05277044855x4 Combine like terms: 0.05277044855x4 + -0.05277044855x4 = 0.00000000000 -0.7387862797 + X5 + -0.2638522427x + -0.1583113456x2 + -0.1583113456x3 + -0.05277044855x4 = 0.00000000000 The solution to this equation could not be determined.
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