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Simplifying 6i(4 + -12i) = 0 (4 * 6i + -12i * 6i) = 0 (24i + -72i2) = 0 Solving 24i + -72i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '24i'. 24i(1 + -3i) = 0 Ignore the factor 24.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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