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Simplifying
14 + -9i(3i) = 0
Remove parenthesis around (3i)
14 + -9i * 3i = 0
Reorder the terms for easier multiplication:
14 + -9 * 3i * i = 0
Multiply -9 * 3
14 + -27i * i = 0
Multiply i * i
14 + -27i2 = 0
Solving
14 + -27i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + -27i2 = 0 + -14
Combine like terms: 14 + -14 = 0
0 + -27i2 = 0 + -14
-27i2 = 0 + -14
Combine like terms: 0 + -14 = -14
-27i2 = -14
Divide each side by '-27'.
i2 = 0.5185185185
Simplifying
i2 = 0.5185185185
Take the square root of each side:
i = {-0.7200823, 0.7200823}
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