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Simplifying x3 + -6.5X2 + 12x + -8 = 0 Reorder the terms: -8 + -6.5X2 + 12x + x3 = 0 Solving -8 + -6.5X2 + 12x + x3 = 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 + -6.5X2 + 12x + 8 + x3 = 0 + 8 Reorder the terms: -8 + 8 + -6.5X2 + 12x + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6.5X2 + 12x + x3 = 0 + 8 -6.5X2 + 12x + x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -6.5X2 + 12x + x3 = 8 Add '-12x' to each side of the equation. -6.5X2 + 12x + -12x + x3 = 8 + -12x Combine like terms: 12x + -12x = 0 -6.5X2 + 0 + x3 = 8 + -12x -6.5X2 + x3 = 8 + -12x Add '-1x3' to each side of the equation. -6.5X2 + x3 + -1x3 = 8 + -12x + -1x3 Combine like terms: x3 + -1x3 = 0 -6.5X2 + 0 = 8 + -12x + -1x3 -6.5X2 = 8 + -12x + -1x3 Divide each side by '-6.5'. X2 = -1.230769231 + 1.846153846x + 0.1538461538x3 Simplifying X2 = -1.230769231 + 1.846153846x + 0.1538461538x3 Reorder the terms: 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = -1.230769231 + 1.846153846x + 0.1538461538x3 + 1.230769231 + -1.846153846x + -0.1538461538x3 Reorder the terms: 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = -1.230769231 + 1.230769231 + 1.846153846x + -1.846153846x + 0.1538461538x3 + -0.1538461538x3 Combine like terms: -1.230769231 + 1.230769231 = 0.000000000 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = 0.000000000 + 1.846153846x + -1.846153846x + 0.1538461538x3 + -0.1538461538x3 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = 1.846153846x + -1.846153846x + 0.1538461538x3 + -0.1538461538x3 Combine like terms: 1.846153846x + -1.846153846x = 0.000000000 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = 0.000000000 + 0.1538461538x3 + -0.1538461538x3 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = 0.1538461538x3 + -0.1538461538x3 Combine like terms: 0.1538461538x3 + -0.1538461538x3 = 0.0000000000 1.230769231 + X2 + -1.846153846x + -0.1538461538x3 = 0.0000000000 The solution to this equation could not be determined.
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