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Simplifying 5i(2 + -6i) = 0 (2 * 5i + -6i * 5i) = 0 (10i + -30i2) = 0 Solving 10i + -30i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '10i'. 10i(1 + -3i) = 0 Ignore the factor 10.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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