(x+yi)2=4i

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Solution for (x+yi)2=4i equation:


Simplifying
(x + yi) * 2 = 4i

Reorder the terms:
(iy + x) * 2 = 4i

Reorder the terms for easier multiplication:
2(iy + x) = 4i
(iy * 2 + x * 2) = 4i
(2iy + 2x) = 4i

Solving
2iy + 2x = 4i

Solving for variable 'i'.

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

Add '-4i' to each side of the equation.
2iy + -4i + 2x = 4i + -4i

Reorder the terms:
-4i + 2iy + 2x = 4i + -4i

Combine like terms: 4i + -4i = 0
-4i + 2iy + 2x = 0

Add '-2x' to each side of the equation.
-4i + 2iy + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
-4i + 2iy + 0 = 0 + -2x
-4i + 2iy = 0 + -2x
Remove the zero:
-4i + 2iy = -2x

Combine like terms: -2x + 2x = 0
-4i + 2iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2i + iy + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2i + iy + x)' equal to zero and attempt to solve: Simplifying -2i + iy + x = 0 Solving -2i + iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -2i + iy + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2i + iy + 0 = 0 + -1x -2i + iy = 0 + -1x Remove the zero: -2i + iy = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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