Answer:
Step-by-step 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.