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Simplifying 2X3 + x2 + 3x + 12 = 0 Reorder the terms: 12 + 2X3 + 3x + x2 = 0 Solving 12 + 2X3 + 3x + x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2X3 + 3x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 2X3 + 3x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2X3 + 3x + x2 = 0 + -12 2X3 + 3x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 2X3 + 3x + x2 = -12 Add '-3x' to each side of the equation. 2X3 + 3x + -3x + x2 = -12 + -3x Combine like terms: 3x + -3x = 0 2X3 + 0 + x2 = -12 + -3x 2X3 + x2 = -12 + -3x Add '-1x2' to each side of the equation. 2X3 + x2 + -1x2 = -12 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 2X3 + 0 = -12 + -3x + -1x2 2X3 = -12 + -3x + -1x2 Divide each side by '2'. X3 = -6 + -1.5x + -0.5x2 Simplifying X3 = -6 + -1.5x + -0.5x2 Reorder the terms: 6 + X3 + 1.5x + 0.5x2 = -6 + -1.5x + -0.5x2 + 6 + 1.5x + 0.5x2 Reorder the terms: 6 + X3 + 1.5x + 0.5x2 = -6 + 6 + -1.5x + 1.5x + -0.5x2 + 0.5x2 Combine like terms: -6 + 6 = 0 6 + X3 + 1.5x + 0.5x2 = 0 + -1.5x + 1.5x + -0.5x2 + 0.5x2 6 + X3 + 1.5x + 0.5x2 = -1.5x + 1.5x + -0.5x2 + 0.5x2 Combine like terms: -1.5x + 1.5x = 0.0 6 + X3 + 1.5x + 0.5x2 = 0.0 + -0.5x2 + 0.5x2 6 + X3 + 1.5x + 0.5x2 = -0.5x2 + 0.5x2 Combine like terms: -0.5x2 + 0.5x2 = 0.0 6 + X3 + 1.5x + 0.5x2 = 0.0 The solution to this equation could not be determined.
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