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Simplifying
(7 + -4i)(7 + 4i) = 0
Multiply (7 + -4i) * (7 + 4i)
(7(7 + 4i) + -4i * (7 + 4i)) = 0
((7 * 7 + 4i * 7) + -4i * (7 + 4i)) = 0
((49 + 28i) + -4i * (7 + 4i)) = 0
(49 + 28i + (7 * -4i + 4i * -4i)) = 0
(49 + 28i + (-28i + -16i2)) = 0
Combine like terms: 28i + -28i = 0
(49 + 0 + -16i2) = 0
(49 + -16i2) = 0
Solving
49 + -16i2 = 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 + -16i2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -16i2 = 0 + -49
-16i2 = 0 + -49
Combine like terms: 0 + -49 = -49
-16i2 = -49
Divide each side by '-16'.
i2 = 3.0625
Simplifying
i2 = 3.0625
Take the square root of each side:
i = {-1.75, 1.75}
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