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Simplifying
(9 + -7i)(9 + 7i) = 0
Multiply (9 + -7i) * (9 + 7i)
(9(9 + 7i) + -7i * (9 + 7i)) = 0
((9 * 9 + 7i * 9) + -7i * (9 + 7i)) = 0
((81 + 63i) + -7i * (9 + 7i)) = 0
(81 + 63i + (9 * -7i + 7i * -7i)) = 0
(81 + 63i + (-63i + -49i2)) = 0
Combine like terms: 63i + -63i = 0
(81 + 0 + -49i2) = 0
(81 + -49i2) = 0
Solving
81 + -49i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-81' to each side of the equation.
81 + -81 + -49i2 = 0 + -81
Combine like terms: 81 + -81 = 0
0 + -49i2 = 0 + -81
-49i2 = 0 + -81
Combine like terms: 0 + -81 = -81
-49i2 = -81
Divide each side by '-49'.
i2 = 1.653061224
Simplifying
i2 = 1.653061224
Take the square root of each side:
i = {-1.285714286, 1.285714286}
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