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Simplifying
(7 + -2i)(7 + 2i) = 0
Multiply (7 + -2i) * (7 + 2i)
(7(7 + 2i) + -2i * (7 + 2i)) = 0
((7 * 7 + 2i * 7) + -2i * (7 + 2i)) = 0
((49 + 14i) + -2i * (7 + 2i)) = 0
(49 + 14i + (7 * -2i + 2i * -2i)) = 0
(49 + 14i + (-14i + -4i2)) = 0
Combine like terms: 14i + -14i = 0
(49 + 0 + -4i2) = 0
(49 + -4i2) = 0
Solving
49 + -4i2 = 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 + -4i2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -4i2 = 0 + -49
-4i2 = 0 + -49
Combine like terms: 0 + -49 = -49
-4i2 = -49
Divide each side by '-4'.
i2 = 12.25
Simplifying
i2 = 12.25
Take the square root of each side:
i = {-3.5, 3.5}
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