5(5i+1)=5(2i+4)

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Solution for 5(5i+1)=5(2i+4) equation:


Simplifying
5(5i + 1) = 5(2i + 4)

Reorder the terms:
5(1 + 5i) = 5(2i + 4)
(1 * 5 + 5i * 5) = 5(2i + 4)
(5 + 25i) = 5(2i + 4)

Reorder the terms:
5 + 25i = 5(4 + 2i)
5 + 25i = (4 * 5 + 2i * 5)
5 + 25i = (20 + 10i)

Solving
5 + 25i = 20 + 10i

Solving for variable 'i'.

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

Add '-10i' to each side of the equation.
5 + 25i + -10i = 20 + 10i + -10i

Combine like terms: 25i + -10i = 15i
5 + 15i = 20 + 10i + -10i

Combine like terms: 10i + -10i = 0
5 + 15i = 20 + 0
5 + 15i = 20

Add '-5' to each side of the equation.
5 + -5 + 15i = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 15i = 20 + -5
15i = 20 + -5

Combine like terms: 20 + -5 = 15
15i = 15

Divide each side by '15'.
i = 1

Simplifying
i = 1

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