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Simplifying
(8 + -6i)(8 + 6i) = 0
Multiply (8 + -6i) * (8 + 6i)
(8(8 + 6i) + -6i * (8 + 6i)) = 0
((8 * 8 + 6i * 8) + -6i * (8 + 6i)) = 0
((64 + 48i) + -6i * (8 + 6i)) = 0
(64 + 48i + (8 * -6i + 6i * -6i)) = 0
(64 + 48i + (-48i + -36i2)) = 0
Combine like terms: 48i + -48i = 0
(64 + 0 + -36i2) = 0
(64 + -36i2) = 0
Solving
64 + -36i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -36i2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -36i2 = 0 + -64
-36i2 = 0 + -64
Combine like terms: 0 + -64 = -64
-36i2 = -64
Divide each side by '-36'.
i2 = 1.777777778
Simplifying
i2 = 1.777777778
Take the square root of each side:
i = {-1.333333333, 1.333333333}
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