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