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Simplifying 2i(5 + -3i) = 0 (5 * 2i + -3i * 2i) = 0 (10i + -6i2) = 0 Solving 10i + -6i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2i'. 2i(5 + -3i) = 0 Ignore the factor 2.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 + -3i)' equal to zero and attempt to solve: Simplifying 5 + -3i = 0 Solving 5 + -3i = 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 + -3i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3i = 0 + -5 -3i = 0 + -5 Combine like terms: 0 + -5 = -5 -3i = -5 Divide each side by '-3'. i = 1.666666667 Simplifying i = 1.666666667Solution
i = {0, 1.666666667}
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