6-5i=x+6+2yi

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Solution for 6-5i=x+6+2yi equation:


Simplifying
6 + -5i = x + 6 + 2yi

Reorder the terms:
6 + -5i = 6 + 2iy + x

Add '-6' to each side of the equation.
6 + -6 + -5i = 6 + 2iy + -6 + x

Combine like terms: 6 + -6 = 0
0 + -5i = 6 + 2iy + -6 + x
-5i = 6 + 2iy + -6 + x

Reorder the terms:
-5i = 6 + -6 + 2iy + x

Combine like terms: 6 + -6 = 0
-5i = 0 + 2iy + x
-5i = 2iy + x

Solving
-5i = 2iy + x

Solving for variable 'i'.

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

Add '-2iy' to each side of the equation.
-5i + -2iy = 2iy + -2iy + x

Combine like terms: 2iy + -2iy = 0
-5i + -2iy = 0 + x
-5i + -2iy = x

Combine like terms: x + -1x = 0
-5i + -2iy + -1x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5i + 2iy + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5i + 2iy + x)' equal to zero and attempt to solve: Simplifying 5i + 2iy + x = 0 Solving 5i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 5i + 2iy + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 5i + 2iy + 0 = 0 + -1x 5i + 2iy = 0 + -1x Remove the zero: 5i + 2iy = -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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