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Simplifying (2 + 5i)(-1 + 5i) = -27 + 5i Multiply (2 + 5i) * (-1 + 5i) (2(-1 + 5i) + 5i * (-1 + 5i)) = -27 + 5i ((-1 * 2 + 5i * 2) + 5i * (-1 + 5i)) = -27 + 5i ((-2 + 10i) + 5i * (-1 + 5i)) = -27 + 5i (-2 + 10i + (-1 * 5i + 5i * 5i)) = -27 + 5i (-2 + 10i + (-5i + 25i2)) = -27 + 5i Combine like terms: 10i + -5i = 5i (-2 + 5i + 25i2) = -27 + 5i Add '-5i' to each side of the equation. -2 + 5i + -5i + 25i2 = -27 + 5i + -5i Combine like terms: 5i + -5i = 0 -2 + 0 + 25i2 = -27 + 5i + -5i -2 + 25i2 = -27 + 5i + -5i Combine like terms: 5i + -5i = 0 -2 + 25i2 = -27 + 0 -2 + 25i2 = -27 Solving -2 + 25i2 = -27 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 25i2 = -27 + 2 Combine like terms: -2 + 2 = 0 0 + 25i2 = -27 + 2 25i2 = -27 + 2 Combine like terms: -27 + 2 = -25 25i2 = -25 Divide each side by '25'. 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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