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

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


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

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

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

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

Solving
-4i2y = 27

Solving for variable 'i'.

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

Divide each side by '-4y'.
i2 = -6.75y-1

Simplifying
i2 = -6.75y-1

Combine like terms: -6.75y-1 + 6.75y-1 = 0.00
i2 + 6.75y-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(i2y + 6.75) = 0.00

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 + 6.75)' equal to zero and attempt to solve: Simplifying i2y + 6.75 = 0 Reorder the terms: 6.75 + i2y = 0 Solving 6.75 + i2y = 0 Move all terms containing i to the left, all other terms to the right. Add '-6.75' to each side of the equation. 6.75 + -6.75 + i2y = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + i2y = 0 + -6.75 i2y = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 i2y = -6.75 Divide each side by 'y'. i2 = -6.75y-1 Simplifying i2 = -6.75y-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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