9(3i-18)=3(15i+3)

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Solution for 9(3i-18)=3(15i+3) equation:


Simplifying
9(3i + -18) = 3(15i + 3)

Reorder the terms:
9(-18 + 3i) = 3(15i + 3)
(-18 * 9 + 3i * 9) = 3(15i + 3)
(-162 + 27i) = 3(15i + 3)

Reorder the terms:
-162 + 27i = 3(3 + 15i)
-162 + 27i = (3 * 3 + 15i * 3)
-162 + 27i = (9 + 45i)

Solving
-162 + 27i = 9 + 45i

Solving for variable 'i'.

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

Add '-45i' to each side of the equation.
-162 + 27i + -45i = 9 + 45i + -45i

Combine like terms: 27i + -45i = -18i
-162 + -18i = 9 + 45i + -45i

Combine like terms: 45i + -45i = 0
-162 + -18i = 9 + 0
-162 + -18i = 9

Add '162' to each side of the equation.
-162 + 162 + -18i = 9 + 162

Combine like terms: -162 + 162 = 0
0 + -18i = 9 + 162
-18i = 9 + 162

Combine like terms: 9 + 162 = 171
-18i = 171

Divide each side by '-18'.
i = -9.5

Simplifying
i = -9.5

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