-5x-yi=10+8i

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Solution for -5x-yi=10+8i equation:


Simplifying
-5x + -1yi = 10 + 8i

Reorder the terms:
-1iy + -5x = 10 + 8i

Solving
-1iy + -5x = 10 + 8i

Solving for variable 'i'.

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

Add '-8i' to each side of the equation.
-1iy + -8i + -5x = 10 + 8i + -8i

Reorder the terms:
-8i + -1iy + -5x = 10 + 8i + -8i

Combine like terms: 8i + -8i = 0
-8i + -1iy + -5x = 10 + 0
-8i + -1iy + -5x = 10

Add '5x' to each side of the equation.
-8i + -1iy + -5x + 5x = 10 + 5x

Combine like terms: -5x + 5x = 0
-8i + -1iy + 0 = 10 + 5x
-8i + -1iy = 10 + 5x

Reorder the terms:
-10 + -8i + -1iy + -5x = 10 + 5x + -10 + -5x

Reorder the terms:
-10 + -8i + -1iy + -5x = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
-10 + -8i + -1iy + -5x = 0 + 5x + -5x
-10 + -8i + -1iy + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -8i + -1iy + -5x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 8i + iy + 5x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(10 + 8i + iy + 5x)' equal to zero and attempt to solve: Simplifying 10 + 8i + iy + 5x = 0 Solving 10 + 8i + iy + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8i + iy + -10 + 5x = 0 + -10 Reorder the terms: 10 + -10 + 8i + iy + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8i + iy + 5x = 0 + -10 8i + iy + 5x = 0 + -10 Combine like terms: 0 + -10 = -10 8i + iy + 5x = -10 Add '-5x' to each side of the equation. 8i + iy + 5x + -5x = -10 + -5x Combine like terms: 5x + -5x = 0 8i + iy + 0 = -10 + -5x 8i + iy = -10 + -5x 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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