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