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Simplifying (-1x + -2i)(x + -2i) = -1x2 + -4 Reorder the terms: (-2i + -1x)(x + -2i) = -1x2 + -4 Reorder the terms: (-2i + -1x)(-2i + x) = -1x2 + -4 Multiply (-2i + -1x) * (-2i + x) (-2i * (-2i + x) + -1x * (-2i + x)) = -1x2 + -4 ((-2i * -2i + x * -2i) + -1x * (-2i + x)) = -1x2 + -4 Reorder the terms: ((-2ix + 4i2) + -1x * (-2i + x)) = -1x2 + -4 ((-2ix + 4i2) + -1x * (-2i + x)) = -1x2 + -4 (-2ix + 4i2 + (-2i * -1x + x * -1x)) = -1x2 + -4 (-2ix + 4i2 + (2ix + -1x2)) = -1x2 + -4 Reorder the terms: (-2ix + 2ix + 4i2 + -1x2) = -1x2 + -4 Combine like terms: -2ix + 2ix = 0 (0 + 4i2 + -1x2) = -1x2 + -4 (4i2 + -1x2) = -1x2 + -4 Reorder the terms: 4i2 + -1x2 = -4 + -1x2 Add 'x2' to each side of the equation. 4i2 + -1x2 + x2 = -4 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4i2 + 0 = -4 + -1x2 + x2 4i2 = -4 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4i2 = -4 + 0 4i2 = -4 Solving 4i2 = -4 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '4'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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