3i(5+i)=equation

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Solution for 3i(5+i)=equation equation: 


Simplifying
3i(5 + i) = equation
(5 * 3i + i * 3i) = equation
(15i + 3i2) = equation

Solving
15i + 3i2 = aeinoqtu

Solving for variable 'i'.

Reorder the terms:
-1aeinoqtu + 15i + 3i2 = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-1aeinoqtu + 15i + 3i2 = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(-1aenoqtu + 15 + 3i) = 0


Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(-1aenoqtu + 15 + 3i)' equal to zero and attempt to solve:

Simplifying
-1aenoqtu + 15 + 3i = 0

Reorder the terms:
15 + -1aenoqtu + 3i = 0

Solving
15 + -1aenoqtu + 3i = 0

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

Add '-15' to each side of the equation.
15 + -1aenoqtu + -15 + 3i = 0 + -15

Reorder the terms:
15 + -15 + -1aenoqtu + 3i = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1aenoqtu + 3i = 0 + -15
-1aenoqtu + 3i = 0 + -15

Combine like terms: 0 + -15 = -15
-1aenoqtu + 3i = -15

Add 'aenoqtu' to each side of the equation.
-1aenoqtu + aenoqtu + 3i = -15 + aenoqtu

Combine like terms: -1aenoqtu + aenoqtu = 0
0 + 3i = -15 + aenoqtu
3i = -15 + aenoqtu

Divide each side by '3'.
i = -5 + 0.3333333333aenoqtu

Simplifying
i = -5 + 0.3333333333aenoqtu
Solution
i = {0, -5 + 0.3333333333aenoqtu}

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