5x+10yi=30-50i

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Solution for 5x+10yi=30-50i equation:


Simplifying
5x + 10yi = 30 + -50i

Reorder the terms:
10iy + 5x = 30 + -50i

Solving
10iy + 5x = 30 + -50i

Solving for variable 'i'.

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

Add '50i' to each side of the equation.
10iy + 50i + 5x = 30 + -50i + 50i

Reorder the terms:
50i + 10iy + 5x = 30 + -50i + 50i

Combine like terms: -50i + 50i = 0
50i + 10iy + 5x = 30 + 0
50i + 10iy + 5x = 30

Add '-5x' to each side of the equation.
50i + 10iy + 5x + -5x = 30 + -5x

Combine like terms: 5x + -5x = 0
50i + 10iy + 0 = 30 + -5x
50i + 10iy = 30 + -5x

Reorder the terms:
-30 + 50i + 10iy + 5x = 30 + -5x + -30 + 5x

Reorder the terms:
-30 + 50i + 10iy + 5x = 30 + -30 + -5x + 5x

Combine like terms: 30 + -30 = 0
-30 + 50i + 10iy + 5x = 0 + -5x + 5x
-30 + 50i + 10iy + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-30 + 50i + 10iy + 5x = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 10i + 2iy + x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-6 + 10i + 2iy + x)' equal to zero and attempt to solve: Simplifying -6 + 10i + 2iy + x = 0 Solving -6 + 10i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 10i + 2iy + 6 + x = 0 + 6 Reorder the terms: -6 + 6 + 10i + 2iy + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 10i + 2iy + x = 0 + 6 10i + 2iy + x = 0 + 6 Combine like terms: 0 + 6 = 6 10i + 2iy + x = 6 Add '-1x' to each side of the equation. 10i + 2iy + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 10i + 2iy + 0 = 6 + -1x 10i + 2iy = 6 + -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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