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Simplifying -3i(2 + -6i) = 0 (2 * -3i + -6i * -3i) = 0 (-6i + 18i2) = 0 Solving -6i + 18i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(-1 + 3i) = 0 Ignore the factor 6.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 + 3i)' equal to zero and attempt to solve: Simplifying -1 + 3i = 0 Solving -1 + 3i = 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 + 3i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3i = 0 + 1 3i = 0 + 1 Combine like terms: 0 + 1 = 1 3i = 1 Divide each side by '3'. i = 0.3333333333 Simplifying i = 0.3333333333Solution
i = {0, 0.3333333333}
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