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Simplifying -3i(9 + -6i) = 0 (9 * -3i + -6i * -3i) = 0 (-27i + 18i2) = 0 Solving -27i + 18i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '9i'. 9i(-3 + 2i) = 0 Ignore the factor 9.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 + 2i)' equal to zero and attempt to solve: Simplifying -3 + 2i = 0 Solving -3 + 2i = 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 + 2i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2i = 0 + 3 2i = 0 + 3 Combine like terms: 0 + 3 = 3 2i = 3 Divide each side by '2'. i = 1.5 Simplifying i = 1.5Solution
i = {0, 1.5}
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