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Simplifying 7i + -3i(-8 + -6i) = 0 7i + (-8 * -3i + -6i * -3i) = 0 7i + (24i + 18i2) = 0 Combine like terms: 7i + 24i = 31i 31i + 18i2 = 0 Solving 31i + 18i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), 'i'. i(31 + 18i) = 0Subproblem 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 '(31 + 18i)' equal to zero and attempt to solve: Simplifying 31 + 18i = 0 Solving 31 + 18i = 0 Move all terms containing i to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 18i = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 18i = 0 + -31 18i = 0 + -31 Combine like terms: 0 + -31 = -31 18i = -31 Divide each side by '18'. i = -1.722222222 Simplifying i = -1.722222222Solution
i = {0, -1.722222222}
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