Find the values of x and y
9x-18i=-36+6yi

Explanation:

Simplifying

9x + -18i = -36 + 6yi

Reorder the terms:

-18i + 9x = -36 + 6yi

Solving

-18i + 9x = -36 + 6iy

Solving for variable 'i'.

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

Add '-6iy' to each side of the equation.

-18i + -6iy + 9x = -36 + 6iy + -6iy

Combine like terms: 6iy + -6iy = 0

-18i + -6iy + 9x = -36 + 0

-18i + -6iy + 9x = -36

Add '-9x' to each side of the equation.

-18i + -6iy + 9x + -9x = -36 + -9x

Combine like terms: 9x + -9x = 0

-18i + -6iy + 0 = -36 + -9x

-18i + -6iy = -36 + -9x

Reorder the terms:

36 + -18i + -6iy + 9x = -36 + -9x + 36 + 9x

Reorder the terms:

36 + -18i + -6iy + 9x = -36 + 36 + -9x + 9x

Combine like terms: -36 + 36 = 0

36 + -18i + -6iy + 9x = 0 + -9x + 9x

36 + -18i + -6iy + 9x = -9x + 9x

Combine like terms: -9x + 9x = 0

36 + -18i + -6iy + 9x = 0

Factor out the Greatest Common Factor (GCF), '3'.

3(12 + -6i + -2iy + 3x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(12 + -6i + -2iy + 3x)' equal to zero and attempt to solve:

Simplifying

12 + -6i + -2iy + 3x = 0

Solving

12 + -6i + -2iy + 3x = 0

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

Add '-12' to each side of the equation.

12 + -6i + -2iy + -12 + 3x = 0 + -12

Reorder the terms:

12 + -12 + -6i + -2iy + 3x = 0 + -12

Combine like terms: 12 + -12 = 0

0 + -6i + -2iy + 3x = 0 + -12

-6i + -2iy + 3x = 0 + -12

Combine like terms: 0 + -12 = -12

-6i + -2iy + 3x = -12

Add '-3x' to each side of the equation.

-6i + -2iy + 3x + -3x = -12 + -3x

Combine like terms: 3x + -3x = 0

-6i + -2iy + 0 = -12 + -3x

-6i + -2iy = -12 + -3x

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.