2x-8yi=24-56i

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Solution for 2x-8yi=24-56i equation:


Simplifying
2x + -8yi = 24 + -56i

Reorder the terms:
-8iy + 2x = 24 + -56i

Solving
-8iy + 2x = 24 + -56i

Solving for variable 'i'.

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

Add '56i' to each side of the equation.
-8iy + 56i + 2x = 24 + -56i + 56i

Reorder the terms:
56i + -8iy + 2x = 24 + -56i + 56i

Combine like terms: -56i + 56i = 0
56i + -8iy + 2x = 24 + 0
56i + -8iy + 2x = 24

Add '-2x' to each side of the equation.
56i + -8iy + 2x + -2x = 24 + -2x

Combine like terms: 2x + -2x = 0
56i + -8iy + 0 = 24 + -2x
56i + -8iy = 24 + -2x

Reorder the terms:
-24 + 56i + -8iy + 2x = 24 + -2x + -24 + 2x

Reorder the terms:
-24 + 56i + -8iy + 2x = 24 + -24 + -2x + 2x

Combine like terms: 24 + -24 = 0
-24 + 56i + -8iy + 2x = 0 + -2x + 2x
-24 + 56i + -8iy + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 56i + -8iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 28i + -4iy + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + 28i + -4iy + x)' equal to zero and attempt to solve: Simplifying -12 + 28i + -4iy + x = 0 Solving -12 + 28i + -4iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 28i + -4iy + 12 + x = 0 + 12 Reorder the terms: -12 + 12 + 28i + -4iy + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 28i + -4iy + x = 0 + 12 28i + -4iy + x = 0 + 12 Combine like terms: 0 + 12 = 12 28i + -4iy + x = 12 Add '-1x' to each side of the equation. 28i + -4iy + x + -1x = 12 + -1x Combine like terms: x + -1x = 0 28i + -4iy + 0 = 12 + -1x 28i + -4iy = 12 + -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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