2ix-(4-5i)x=5i

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Solution for 2ix-(4-5i)x=5i equation:


Simplifying
2ix + -1(4 + -5i) * x = 5i

Reorder the terms for easier multiplication:
2ix + -1x(4 + -5i) = 5i
2ix + (4 * -1x + -5i * -1x) = 5i

Reorder the terms:
2ix + (5ix + -4x) = 5i
2ix + (5ix + -4x) = 5i

Combine like terms: 2ix + 5ix = 7ix
7ix + -4x = 5i

Solving
7ix + -4x = 5i

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
7ix + -5i + -4x = 5i + -5i

Reorder the terms:
-5i + 7ix + -4x = 5i + -5i

Combine like terms: 5i + -5i = 0
-5i + 7ix + -4x = 0

Add '4x' to each side of the equation.
-5i + 7ix + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
-5i + 7ix + 0 = 0 + 4x
-5i + 7ix = 0 + 4x
Remove the zero:
-5i + 7ix = 4x

Combine like terms: 4x + -4x = 0
-5i + 7ix + -4x = 0

The solution to this equation could not be determined.

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