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Simplifying
(-6 + -4i)(-6 + 4i) = 0
Multiply (-6 + -4i) * (-6 + 4i)
(-6(-6 + 4i) + -4i * (-6 + 4i)) = 0
((-6 * -6 + 4i * -6) + -4i * (-6 + 4i)) = 0
((36 + -24i) + -4i * (-6 + 4i)) = 0
(36 + -24i + (-6 * -4i + 4i * -4i)) = 0
(36 + -24i + (24i + -16i2)) = 0
Combine like terms: -24i + 24i = 0
(36 + 0 + -16i2) = 0
(36 + -16i2) = 0
Solving
36 + -16i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-36' to each side of the equation.
36 + -36 + -16i2 = 0 + -36
Combine like terms: 36 + -36 = 0
0 + -16i2 = 0 + -36
-16i2 = 0 + -36
Combine like terms: 0 + -36 = -36
-16i2 = -36
Divide each side by '-16'.
i2 = 2.25
Simplifying
i2 = 2.25
Take the square root of each side:
i = {-1.5, 1.5}
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