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Simplifying -3i(-1 + 9i) = 0 (-1 * -3i + 9i * -3i) = 0 (3i + -27i2) = 0 Solving 3i + -27i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(1 + -9i) = 0 Ignore the factor 3.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 + -9i)' equal to zero and attempt to solve: Simplifying 1 + -9i = 0 Solving 1 + -9i = 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 + -9i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9i = 0 + -1 -9i = 0 + -1 Combine like terms: 0 + -1 = -1 -9i = -1 Divide each side by '-9'. i = 0.1111111111 Simplifying i = 0.1111111111Solution
i = {0, 0.1111111111}
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