-2x-yi=24+6i

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Solution for -2x-yi=24+6i equation:


Simplifying
-2x + -1yi = 24 + 6i

Reorder the terms:
-1iy + -2x = 24 + 6i

Solving
-1iy + -2x = 24 + 6i

Solving for variable 'i'.

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

Add '-6i' to each side of the equation.
-1iy + -6i + -2x = 24 + 6i + -6i

Reorder the terms:
-6i + -1iy + -2x = 24 + 6i + -6i

Combine like terms: 6i + -6i = 0
-6i + -1iy + -2x = 24 + 0
-6i + -1iy + -2x = 24

Add '2x' to each side of the equation.
-6i + -1iy + -2x + 2x = 24 + 2x

Combine like terms: -2x + 2x = 0
-6i + -1iy + 0 = 24 + 2x
-6i + -1iy = 24 + 2x

Reorder the terms:
-24 + -6i + -1iy + -2x = 24 + 2x + -24 + -2x

Reorder the terms:
-24 + -6i + -1iy + -2x = 24 + -24 + 2x + -2x

Combine like terms: 24 + -24 = 0
-24 + -6i + -1iy + -2x = 0 + 2x + -2x
-24 + -6i + -1iy + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + -6i + -1iy + -2x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(24 + 6i + iy + 2x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(24 + 6i + iy + 2x)' equal to zero and attempt to solve: Simplifying 24 + 6i + iy + 2x = 0 Solving 24 + 6i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6i + iy + -24 + 2x = 0 + -24 Reorder the terms: 24 + -24 + 6i + iy + 2x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6i + iy + 2x = 0 + -24 6i + iy + 2x = 0 + -24 Combine like terms: 0 + -24 = -24 6i + iy + 2x = -24 Add '-2x' to each side of the equation. 6i + iy + 2x + -2x = -24 + -2x Combine like terms: 2x + -2x = 0 6i + iy + 0 = -24 + -2x 6i + iy = -24 + -2x 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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