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Simplifying 3x4 + 4x3 + -14X2 + 4x + 3 = 0 Reorder the terms: 3 + -14X2 + 4x + 4x3 + 3x4 = 0 Solving 3 + -14X2 + 4x + 4x3 + 3x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -14X2 + 4x + 4x3 + -3 + 3x4 = 0 + -3 Reorder the terms: 3 + -3 + -14X2 + 4x + 4x3 + 3x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14X2 + 4x + 4x3 + 3x4 = 0 + -3 -14X2 + 4x + 4x3 + 3x4 = 0 + -3 Combine like terms: 0 + -3 = -3 -14X2 + 4x + 4x3 + 3x4 = -3 Add '-4x' to each side of the equation. -14X2 + 4x + 4x3 + -4x + 3x4 = -3 + -4x Reorder the terms: -14X2 + 4x + -4x + 4x3 + 3x4 = -3 + -4x Combine like terms: 4x + -4x = 0 -14X2 + 0 + 4x3 + 3x4 = -3 + -4x -14X2 + 4x3 + 3x4 = -3 + -4x Add '-4x3' to each side of the equation. -14X2 + 4x3 + -4x3 + 3x4 = -3 + -4x + -4x3 Combine like terms: 4x3 + -4x3 = 0 -14X2 + 0 + 3x4 = -3 + -4x + -4x3 -14X2 + 3x4 = -3 + -4x + -4x3 Add '-3x4' to each side of the equation. -14X2 + 3x4 + -3x4 = -3 + -4x + -4x3 + -3x4 Combine like terms: 3x4 + -3x4 = 0 -14X2 + 0 = -3 + -4x + -4x3 + -3x4 -14X2 = -3 + -4x + -4x3 + -3x4 Divide each side by '-14'. X2 = 0.2142857143 + 0.2857142857x + 0.2857142857x3 + 0.2142857143x4 Simplifying X2 = 0.2142857143 + 0.2857142857x + 0.2857142857x3 + 0.2142857143x4 Reorder the terms: -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.2142857143 + 0.2857142857x + 0.2857142857x3 + 0.2142857143x4 + -0.2142857143 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 Reorder the terms: -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.2142857143 + -0.2142857143 + 0.2857142857x + -0.2857142857x + 0.2857142857x3 + -0.2857142857x3 + 0.2142857143x4 + -0.2142857143x4 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.0000000000 + 0.2857142857x + -0.2857142857x + 0.2857142857x3 + -0.2857142857x3 + 0.2142857143x4 + -0.2142857143x4 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.2857142857x + -0.2857142857x + 0.2857142857x3 + -0.2857142857x3 + 0.2142857143x4 + -0.2142857143x4 Combine like terms: 0.2857142857x + -0.2857142857x = 0.0000000000 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.0000000000 + 0.2857142857x3 + -0.2857142857x3 + 0.2142857143x4 + -0.2142857143x4 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.2857142857x3 + -0.2857142857x3 + 0.2142857143x4 + -0.2142857143x4 Combine like terms: 0.2857142857x3 + -0.2857142857x3 = 0.0000000000 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.0000000000 + 0.2142857143x4 + -0.2142857143x4 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.2142857143x4 + -0.2142857143x4 Combine like terms: 0.2142857143x4 + -0.2142857143x4 = 0.0000000000 -0.2142857143 + X2 + -0.2857142857x + -0.2857142857x3 + -0.2142857143x4 = 0.0000000000 The solution to this equation could not be determined.
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