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Simplifying
(7 + -6i)(7 + 6i) = 0
Multiply (7 + -6i) * (7 + 6i)
(7(7 + 6i) + -6i * (7 + 6i)) = 0
((7 * 7 + 6i * 7) + -6i * (7 + 6i)) = 0
((49 + 42i) + -6i * (7 + 6i)) = 0
(49 + 42i + (7 * -6i + 6i * -6i)) = 0
(49 + 42i + (-42i + -36i2)) = 0
Combine like terms: 42i + -42i = 0
(49 + 0 + -36i2) = 0
(49 + -36i2) = 0
Solving
49 + -36i2 = 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 + -36i2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -36i2 = 0 + -49
-36i2 = 0 + -49
Combine like terms: 0 + -49 = -49
-36i2 = -49
Divide each side by '-36'.
i2 = 1.361111111
Simplifying
i2 = 1.361111111
Take the square root of each side:
i = {-1.166666667, 1.166666667}
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