4i(-3-yi)+7=27-12i

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Solution for 4i(-3-yi)+7=27-12i equation: 


Simplifying
4i(-3 + -1yi) + 7 = 27 + -12i
(-3 * 4i + -1iy * 4i) + 7 = 27 + -12i
(-12i + -4i2y) + 7 = 27 + -12i

Reorder the terms:
7 + -12i + -4i2y = 27 + -12i

Add '12i' to each side of the equation.
7 + -12i + 12i + -4i2y = 27 + -12i + 12i

Combine like terms: -12i + 12i = 0
7 + 0 + -4i2y = 27 + -12i + 12i
7 + -4i2y = 27 + -12i + 12i

Combine like terms: -12i + 12i = 0
7 + -4i2y = 27 + 0
7 + -4i2y = 27

Solving
7 + -4i2y = 27

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + -4i2y = 27 + -7

Combine like terms: 7 + -7 = 0
0 + -4i2y = 27 + -7
-4i2y = 27 + -7

Combine like terms: 27 + -7 = 20
-4i2y = 20

Divide each side by '-4y'.
i2 = -5y-1

Simplifying
i2 = -5y-1

Combine like terms: -5y-1 + 5y-1 = 0
i2 + 5y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(i2y + 5) = 0


Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve:

Simplifying
y-1 = 0

Solving
y-1 = 0

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

Add '-1y-1' to each side of the equation.
y-1 + -1y-1 = 0 + -1y-1
Remove the zero:
0 = -1y-1

Simplifying
0 = -1y-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(i2y + 5)' equal to zero and attempt to solve:

Simplifying
i2y + 5 = 0

Reorder the terms:
5 + i2y = 0

Solving
5 + i2y = 0

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

Add '-5' to each side of the equation.
5 + -5 + i2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + i2y = 0 + -5
i2y = 0 + -5

Combine like terms: 0 + -5 = -5
i2y = -5

Divide each side by 'y'.
i2 = -5y-1

Simplifying
i2 = -5y-1

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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