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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 = 0Subproblem 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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