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Simplifying (3 + -1y) * i = 4i Reorder the terms for easier multiplication: i(3 + -1y) = 4i (3 * i + -1y * i) = 4i (3i + -1iy) = 4i Solving 3i + -1iy = 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. 3i + -4i + -1iy = 4i + -4i Combine like terms: 3i + -4i = -1i -1i + -1iy = 4i + -4i Combine like terms: 4i + -4i = 0 -1i + -1iy = 0 Factor out the Greatest Common Factor (GCF), '-1i'. -1i(1 + y) = 0 Ignore the factor -1.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 + 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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