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Simplifying (-5 + -10i)(-5 + -10i) = -75 + 100i Multiply (-5 + -10i) * (-5 + -10i) (-5(-5 + -10i) + -10i * (-5 + -10i)) = -75 + 100i ((-5 * -5 + -10i * -5) + -10i * (-5 + -10i)) = -75 + 100i ((25 + 50i) + -10i * (-5 + -10i)) = -75 + 100i (25 + 50i + (-5 * -10i + -10i * -10i)) = -75 + 100i (25 + 50i + (50i + 100i2)) = -75 + 100i Combine like terms: 50i + 50i = 100i (25 + 100i + 100i2) = -75 + 100i Add '-100i' to each side of the equation. 25 + 100i + -100i + 100i2 = -75 + 100i + -100i Combine like terms: 100i + -100i = 0 25 + 0 + 100i2 = -75 + 100i + -100i 25 + 100i2 = -75 + 100i + -100i Combine like terms: 100i + -100i = 0 25 + 100i2 = -75 + 0 25 + 100i2 = -75 Solving 25 + 100i2 = -75 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 100i2 = -75 + -25 Combine like terms: 25 + -25 = 0 0 + 100i2 = -75 + -25 100i2 = -75 + -25 Combine like terms: -75 + -25 = -100 100i2 = -100 Divide each side by '100'. 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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