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Simplifying x2 + (3 + -2i) * x + (3 + 2i) * x + 13 = 0 Reorder the terms for easier multiplication: x2 + x(3 + -2i) + (3 + 2i) * x + 13 = 0 x2 + (3 * x + -2i * x) + (3 + 2i) * x + 13 = 0 Reorder the terms: x2 + (-2ix + 3x) + (3 + 2i) * x + 13 = 0 x2 + (-2ix + 3x) + (3 + 2i) * x + 13 = 0 Reorder the terms for easier multiplication: x2 + -2ix + 3x + x(3 + 2i) + 13 = 0 x2 + -2ix + 3x + (3 * x + 2i * x) + 13 = 0 Reorder the terms: x2 + -2ix + 3x + (2ix + 3x) + 13 = 0 x2 + -2ix + 3x + (2ix + 3x) + 13 = 0 Reorder the terms: 13 + -2ix + 2ix + 3x + 3x + x2 = 0 Combine like terms: -2ix + 2ix = 0 13 + 0 + 3x + 3x + x2 = 0 13 + 3x + 3x + x2 = 0 Combine like terms: 3x + 3x = 6x 13 + 6x + x2 = 0 Solving 13 + 6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 6x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + 6x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x + x2 = 0 + -13 6x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 6x + x2 = -13 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -13 + 9 Reorder the terms: 9 + 6x + x2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + 6x + x2 = -4 Factor a perfect square on the left side: (x + 3)(x + 3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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