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Simplifying 2X4 + 5x3 + 10x2 + 20x + 8 = 0 Reorder the terms: 8 + 2X4 + 20x + 10x2 + 5x3 = 0 Solving 8 + 2X4 + 20x + 10x2 + 5x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2X4 + 20x + 10x2 + -8 + 5x3 = 0 + -8 Reorder the terms: 8 + -8 + 2X4 + 20x + 10x2 + 5x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2X4 + 20x + 10x2 + 5x3 = 0 + -8 2X4 + 20x + 10x2 + 5x3 = 0 + -8 Combine like terms: 0 + -8 = -8 2X4 + 20x + 10x2 + 5x3 = -8 Add '-20x' to each side of the equation. 2X4 + 20x + 10x2 + -20x + 5x3 = -8 + -20x Reorder the terms: 2X4 + 20x + -20x + 10x2 + 5x3 = -8 + -20x Combine like terms: 20x + -20x = 0 2X4 + 0 + 10x2 + 5x3 = -8 + -20x 2X4 + 10x2 + 5x3 = -8 + -20x Add '-10x2' to each side of the equation. 2X4 + 10x2 + -10x2 + 5x3 = -8 + -20x + -10x2 Combine like terms: 10x2 + -10x2 = 0 2X4 + 0 + 5x3 = -8 + -20x + -10x2 2X4 + 5x3 = -8 + -20x + -10x2 Add '-5x3' to each side of the equation. 2X4 + 5x3 + -5x3 = -8 + -20x + -10x2 + -5x3 Combine like terms: 5x3 + -5x3 = 0 2X4 + 0 = -8 + -20x + -10x2 + -5x3 2X4 = -8 + -20x + -10x2 + -5x3 Divide each side by '2'. X4 = -4 + -10x + -5x2 + -2.5x3 Simplifying X4 = -4 + -10x + -5x2 + -2.5x3 Reorder the terms: 4 + X4 + 10x + 5x2 + 2.5x3 = -4 + -10x + -5x2 + -2.5x3 + 4 + 10x + 5x2 + 2.5x3 Reorder the terms: 4 + X4 + 10x + 5x2 + 2.5x3 = -4 + 4 + -10x + 10x + -5x2 + 5x2 + -2.5x3 + 2.5x3 Combine like terms: -4 + 4 = 0 4 + X4 + 10x + 5x2 + 2.5x3 = 0 + -10x + 10x + -5x2 + 5x2 + -2.5x3 + 2.5x3 4 + X4 + 10x + 5x2 + 2.5x3 = -10x + 10x + -5x2 + 5x2 + -2.5x3 + 2.5x3 Combine like terms: -10x + 10x = 0 4 + X4 + 10x + 5x2 + 2.5x3 = 0 + -5x2 + 5x2 + -2.5x3 + 2.5x3 4 + X4 + 10x + 5x2 + 2.5x3 = -5x2 + 5x2 + -2.5x3 + 2.5x3 Combine like terms: -5x2 + 5x2 = 0 4 + X4 + 10x + 5x2 + 2.5x3 = 0 + -2.5x3 + 2.5x3 4 + X4 + 10x + 5x2 + 2.5x3 = -2.5x3 + 2.5x3 Combine like terms: -2.5x3 + 2.5x3 = 0.0 4 + X4 + 10x + 5x2 + 2.5x3 = 0.0 The solution to this equation could not be determined.
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