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Simplifying -10i(5 + 8i) = 0 (5 * -10i + 8i * -10i) = 0 (-50i + -80i2) = 0 Solving -50i + -80i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-10i'. -10i(5 + 8i) = 0 Ignore the factor -10.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 + 8i)' equal to zero and attempt to solve: Simplifying 5 + 8i = 0 Solving 5 + 8i = 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 + 8i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8i = 0 + -5 8i = 0 + -5 Combine like terms: 0 + -5 = -5 8i = -5 Divide each side by '8'. i = -0.625 Simplifying i = -0.625Solution
i = {0, -0.625}
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