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Simplifying (13i + -2) * 5i = 0 Reorder the terms: (-2 + 13i) * 5i = 0 Reorder the terms for easier multiplication: 5i(-2 + 13i) = 0 (-2 * 5i + 13i * 5i) = 0 (-10i + 65i2) = 0 Solving -10i + 65i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '5i'. 5i(-2 + 13i) = 0 Ignore the factor 5.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 '(-2 + 13i)' equal to zero and attempt to solve: Simplifying -2 + 13i = 0 Solving -2 + 13i = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13i = 0 + 2 13i = 0 + 2 Combine like terms: 0 + 2 = 2 13i = 2 Divide each side by '13'. i = 0.1538461538 Simplifying i = 0.1538461538Solution
i = {0, 0.1538461538}
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