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Simplifying -9i(4 + 12i) = 0 (4 * -9i + 12i * -9i) = 0 (-36i + -108i2) = 0 Solving -36i + -108i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-36i'. -36i(1 + 3i) = 0 Ignore the factor -36.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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