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Simplifying X2 + 2x2 + 3x + 6 = 0 Reorder the terms: 6 + X2 + 3x + 2x2 = 0 Solving 6 + X2 + 3x + 2x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X2 + 3x + -6 + 2x2 = 0 + -6 Reorder the terms: 6 + -6 + X2 + 3x + 2x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X2 + 3x + 2x2 = 0 + -6 X2 + 3x + 2x2 = 0 + -6 Combine like terms: 0 + -6 = -6 X2 + 3x + 2x2 = -6 Add '-3x' to each side of the equation. X2 + 3x + -3x + 2x2 = -6 + -3x Combine like terms: 3x + -3x = 0 X2 + 0 + 2x2 = -6 + -3x X2 + 2x2 = -6 + -3x Add '-2x2' to each side of the equation. X2 + 2x2 + -2x2 = -6 + -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 X2 + 0 = -6 + -3x + -2x2 X2 = -6 + -3x + -2x2 Simplifying X2 = -6 + -3x + -2x2 Reorder the terms: 6 + X2 + 3x + 2x2 = -6 + -3x + -2x2 + 6 + 3x + 2x2 Reorder the terms: 6 + X2 + 3x + 2x2 = -6 + 6 + -3x + 3x + -2x2 + 2x2 Combine like terms: -6 + 6 = 0 6 + X2 + 3x + 2x2 = 0 + -3x + 3x + -2x2 + 2x2 6 + X2 + 3x + 2x2 = -3x + 3x + -2x2 + 2x2 Combine like terms: -3x + 3x = 0 6 + X2 + 3x + 2x2 = 0 + -2x2 + 2x2 6 + X2 + 3x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 6 + X2 + 3x + 2x2 = 0 The solution to this equation could not be determined.
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