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Simplifying -8i(20i + -13) = 0 Reorder the terms: -8i(-13 + 20i) = 0 (-13 * -8i + 20i * -8i) = 0 (104i + -160i2) = 0 Solving 104i + -160i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '8i'. 8i(13 + -20i) = 0 Ignore the factor 8.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 '(13 + -20i)' equal to zero and attempt to solve: Simplifying 13 + -20i = 0 Solving 13 + -20i = 0 Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -20i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -20i = 0 + -13 -20i = 0 + -13 Combine like terms: 0 + -13 = -13 -20i = -13 Divide each side by '-20'. i = 0.65 Simplifying i = 0.65Solution
i = {0, 0.65}
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