3i(7-3i)=9+21i

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Solution for 3i(7-3i)=9+21i equation:


Simplifying
3i(7 + -3i) = 9 + 21i
(7 * 3i + -3i * 3i) = 9 + 21i
(21i + -9i2) = 9 + 21i

Add '-21i' to each side of the equation.
21i + -21i + -9i2 = 9 + 21i + -21i

Combine like terms: 21i + -21i = 0
0 + -9i2 = 9 + 21i + -21i
-9i2 = 9 + 21i + -21i

Combine like terms: 21i + -21i = 0
-9i2 = 9 + 0
-9i2 = 9

Solving
-9i2 = 9

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Divide each side by '-9'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

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