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Simplifying (7.2 + 9.6i)(-10i) = 0 Remove parenthesis around (-10i) (7.2 + 9.6i) * -10i = 0 Reorder the terms for easier multiplication: -10i(7.2 + 9.6i) = 0 (7.2 * -10i + 9.6i * -10i) = 0 (-72i + -96i2) = 0 Solving -72i + -96i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-24i'. -24i(3 + 4i) = 0 Ignore the factor -24.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 '(3 + 4i)' equal to zero and attempt to solve: Simplifying 3 + 4i = 0 Solving 3 + 4i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4i = 0 + -3 4i = 0 + -3 Combine like terms: 0 + -3 = -3 4i = -3 Divide each side by '4'. i = -0.75 Simplifying i = -0.75Solution
i = {0, -0.75}
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