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Simplifying x3 + 9X2 + 8x + -42 = 0 Reorder the terms: -42 + 9X2 + 8x + x3 = 0 Solving -42 + 9X2 + 8x + x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 9X2 + 8x + 42 + x3 = 0 + 42 Reorder the terms: -42 + 42 + 9X2 + 8x + x3 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 9X2 + 8x + x3 = 0 + 42 9X2 + 8x + x3 = 0 + 42 Combine like terms: 0 + 42 = 42 9X2 + 8x + x3 = 42 Add '-8x' to each side of the equation. 9X2 + 8x + -8x + x3 = 42 + -8x Combine like terms: 8x + -8x = 0 9X2 + 0 + x3 = 42 + -8x 9X2 + x3 = 42 + -8x Add '-1x3' to each side of the equation. 9X2 + x3 + -1x3 = 42 + -8x + -1x3 Combine like terms: x3 + -1x3 = 0 9X2 + 0 = 42 + -8x + -1x3 9X2 = 42 + -8x + -1x3 Divide each side by '9'. X2 = 4.666666667 + -0.8888888889x + -0.1111111111x3 Simplifying X2 = 4.666666667 + -0.8888888889x + -0.1111111111x3 Reorder the terms: -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = 4.666666667 + -0.8888888889x + -0.1111111111x3 + -4.666666667 + 0.8888888889x + 0.1111111111x3 Reorder the terms: -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = 4.666666667 + -4.666666667 + -0.8888888889x + 0.8888888889x + -0.1111111111x3 + 0.1111111111x3 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = 0.000000000 + -0.8888888889x + 0.8888888889x + -0.1111111111x3 + 0.1111111111x3 -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = -0.8888888889x + 0.8888888889x + -0.1111111111x3 + 0.1111111111x3 Combine like terms: -0.8888888889x + 0.8888888889x = 0.0000000000 -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = 0.0000000000 + -0.1111111111x3 + 0.1111111111x3 -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = -0.1111111111x3 + 0.1111111111x3 Combine like terms: -0.1111111111x3 + 0.1111111111x3 = 0.0000000000 -4.666666667 + X2 + 0.8888888889x + 0.1111111111x3 = 0.0000000000 The solution to this equation could not be determined.
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