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Simplifying 3i(6i + 5) = 0 Reorder the terms: 3i(5 + 6i) = 0 (5 * 3i + 6i * 3i) = 0 (15i + 18i2) = 0 Solving 15i + 18i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(5 + 6i) = 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 '(5 + 6i)' equal to zero and attempt to solve: Simplifying 5 + 6i = 0 Solving 5 + 6i = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6i = 0 + -5 6i = 0 + -5 Combine like terms: 0 + -5 = -5 6i = -5 Divide each side by '6'. i = -0.8333333333 Simplifying i = -0.8333333333Solution
i = {0, -0.8333333333}
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