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Simplifying
(7 + 5i)(7 + -5i) = 0
Multiply (7 + 5i) * (7 + -5i)
(7(7 + -5i) + 5i * (7 + -5i)) = 0
((7 * 7 + -5i * 7) + 5i * (7 + -5i)) = 0
((49 + -35i) + 5i * (7 + -5i)) = 0
(49 + -35i + (7 * 5i + -5i * 5i)) = 0
(49 + -35i + (35i + -25i2)) = 0
Combine like terms: -35i + 35i = 0
(49 + 0 + -25i2) = 0
(49 + -25i2) = 0
Solving
49 + -25i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + -25i2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -25i2 = 0 + -49
-25i2 = 0 + -49
Combine like terms: 0 + -49 = -49
-25i2 = -49
Divide each side by '-25'.
i2 = 1.96
Simplifying
i2 = 1.96
Take the square root of each side:
i = {-1.4, 1.4}
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