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Simplifying 74 = (-7 + -5i)(-7 + 5i) Multiply (-7 + -5i) * (-7 + 5i) 74 = (-7(-7 + 5i) + -5i * (-7 + 5i)) 74 = ((-7 * -7 + 5i * -7) + -5i * (-7 + 5i)) 74 = ((49 + -35i) + -5i * (-7 + 5i)) 74 = (49 + -35i + (-7 * -5i + 5i * -5i)) 74 = (49 + -35i + (35i + -25i2)) Combine like terms: -35i + 35i = 0 74 = (49 + 0 + -25i2) 74 = (49 + -25i2) Solving 74 = 49 + -25i2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '25i2' to each side of the equation. 74 + 25i2 = 49 + -25i2 + 25i2 Combine like terms: -25i2 + 25i2 = 0 74 + 25i2 = 49 + 0 74 + 25i2 = 49 Add '-74' to each side of the equation. 74 + -74 + 25i2 = 49 + -74 Combine like terms: 74 + -74 = 0 0 + 25i2 = 49 + -74 25i2 = 49 + -74 Combine like terms: 49 + -74 = -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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