4yi=-4i

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Solution for 4yi=-4i equation:


Simplifying
4yi = -4i

Solving
4iy = -4i

Solving for variable 'i'.

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

Add '4i' to each side of the equation.
4i + 4iy = -4i + 4i

Combine like terms: -4i + 4i = 0
4i + 4iy = 0

Factor out the Greatest Common Factor (GCF), '4i'.
4i(1 + y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

i = {0}

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