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Simplifying (x + 5)(x + 2i) = y Reorder the terms: (5 + x)(x + 2i) = y Reorder the terms: (5 + x)(2i + x) = y Multiply (5 + x) * (2i + x) (5(2i + x) + x(2i + x)) = y ((2i * 5 + x * 5) + x(2i + x)) = y ((10i + 5x) + x(2i + x)) = y (10i + 5x + (2i * x + x * x)) = y (10i + 5x + (2ix + x2)) = y Reorder the terms: (10i + 2ix + 5x + x2) = y (10i + 2ix + 5x + x2) = y Solving 10i + 2ix + 5x + x2 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5x' to each side of the equation. 10i + 2ix + 5x + -5x + x2 = -5x + y Combine like terms: 5x + -5x = 0 10i + 2ix + 0 + x2 = -5x + y 10i + 2ix + x2 = -5x + y Add '-1x2' to each side of the equation. 10i + 2ix + x2 + -1x2 = -5x + -1x2 + y Combine like terms: x2 + -1x2 = 0 10i + 2ix + 0 = -5x + -1x2 + y 10i + 2ix = -5x + -1x2 + y Reorder the terms: 10i + 2ix + 5x + x2 + -1y = -5x + 5x + -1x2 + x2 + y + -1y Combine like terms: -5x + 5x = 0 10i + 2ix + 5x + x2 + -1y = 0 + -1x2 + x2 + y + -1y 10i + 2ix + 5x + x2 + -1y = -1x2 + x2 + y + -1y Combine like terms: -1x2 + x2 = 0 10i + 2ix + 5x + x2 + -1y = 0 + y + -1y 10i + 2ix + 5x + x2 + -1y = y + -1y Combine like terms: y + -1y = 0 10i + 2ix + 5x + x2 + -1y = 0 The solution to this equation could not be determined.
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