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Simplifying i = i2 + -2i Reorder the terms: i = -2i + i2 Solving i = -2i + i2 Solving for variable 'i'. Combine like terms: i + 2i = 3i 3i + -1i2 = -2i + i2 + 2i + -1i2 Reorder the terms: 3i + -1i2 = -2i + 2i + i2 + -1i2 Combine like terms: -2i + 2i = 0 3i + -1i2 = 0 + i2 + -1i2 3i + -1i2 = i2 + -1i2 Combine like terms: i2 + -1i2 = 0 3i + -1i2 = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(3 + -1i) = 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 '(3 + -1i)' equal to zero and attempt to solve: Simplifying 3 + -1i = 0 Solving 3 + -1i = 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 + -1i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = 0 + -3 -1i = 0 + -3 Combine like terms: 0 + -3 = -3 -1i = -3 Divide each side by '-1'. i = 3 Simplifying i = 3Solution
i = {0, 3}
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