8yi=-2i

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Solution for 8yi=-2i equation:


Simplifying
8yi = -2i

Solving
8iy = -2i

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
2i + 8iy = -2i + 2i

Combine like terms: -2i + 2i = 0
2i + 8iy = 0

Factor out the Greatest Common Factor (GCF), '2i'.
2i(1 + 4y) = 0

Ignore the factor 2.

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 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Add '-4y' to each side of the equation. 4y + -4y = -1 + -4y Combine like terms: 4y + -4y = 0 0 = -1 + -4y Simplifying 0 = -1 + -4y 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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