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Simplifying 3i(-5 + -4i) = 0 (-5 * 3i + -4i * 3i) = 0 (-15i + -12i2) = 0 Solving -15i + -12i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-3i'. -3i(5 + 4i) = 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 + 4i)' equal to zero and attempt to solve: Simplifying 5 + 4i = 0 Solving 5 + 4i = 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 + 4i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4i = 0 + -5 4i = 0 + -5 Combine like terms: 0 + -5 = -5 4i = -5 Divide each side by '4'. i = -1.25 Simplifying i = -1.25Solution
i = {0, -1.25}
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