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Simplifying 4i(3 + -9i) = 0 (3 * 4i + -9i * 4i) = 0 (12i + -36i2) = 0 Solving 12i + -36i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '12i'. 12i(1 + -3i) = 0 Ignore the factor 12.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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