2(2i-1)=5(2i-1)

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Solution for 2(2i-1)=5(2i-1) equation:


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

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

Reorder the terms:
-2 + 4i = 5(-1 + 2i)
-2 + 4i = (-1 * 5 + 2i * 5)
-2 + 4i = (-5 + 10i)

Solving
-2 + 4i = -5 + 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.
-2 + 4i + -10i = -5 + 10i + -10i

Combine like terms: 4i + -10i = -6i
-2 + -6i = -5 + 10i + -10i

Combine like terms: 10i + -10i = 0
-2 + -6i = -5 + 0
-2 + -6i = -5

Add '2' to each side of the equation.
-2 + 2 + -6i = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -6i = -5 + 2
-6i = -5 + 2

Combine like terms: -5 + 2 = -3
-6i = -3

Divide each side by '-6'.
i = 0.5

Simplifying
i = 0.5

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