0.9(3i+27)=0.3i+68

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Solution for 0.9(3i+27)=0.3i+68 equation: 


Simplifying
0.9(3i + 27) = 0.3i + 68

Reorder the terms:
0.9(27 + 3i) = 0.3i + 68
(27 * 0.9 + 3i * 0.9) = 0.3i + 68
(24.3 + 2.7i) = 0.3i + 68

Reorder the terms:
24.3 + 2.7i = 68 + 0.3i

Solving
24.3 + 2.7i = 68 + 0.3i

Solving for variable 'i'.

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

Add '-0.3i' to each side of the equation.
24.3 + 2.7i + -0.3i = 68 + 0.3i + -0.3i

Combine like terms: 2.7i + -0.3i = 2.4i
24.3 + 2.4i = 68 + 0.3i + -0.3i

Combine like terms: 0.3i + -0.3i = 0.0
24.3 + 2.4i = 68 + 0.0
24.3 + 2.4i = 68

Add '-24.3' to each side of the equation.
24.3 + -24.3 + 2.4i = 68 + -24.3

Combine like terms: 24.3 + -24.3 = 0.0
0.0 + 2.4i = 68 + -24.3
2.4i = 68 + -24.3

Combine like terms: 68 + -24.3 = 43.7
2.4i = 43.7

Divide each side by '2.4'.
i = 18.20833333

Simplifying
i = 18.20833333

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