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Simplifying (3y + 2) * i = -4i Reorder the terms: (2 + 3y) * i = -4i Reorder the terms for easier multiplication: i(2 + 3y) = -4i (2 * i + 3y * i) = -4i (2i + 3iy) = -4i Solving 2i + 3iy = -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. 2i + 4i + 3iy = -4i + 4i Combine like terms: 2i + 4i = 6i 6i + 3iy = -4i + 4i Combine like terms: -4i + 4i = 0 6i + 3iy = 0 Factor out the Greatest Common Factor (GCF), '3i'. 3i(2 + y) = 0 Ignore the factor 3.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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Add '-1y' to each side of the equation. y + -1y = -2 + -1y Combine like terms: y + -1y = 0 0 = -2 + -1y Simplifying 0 = -2 + -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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