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Simplifying 8i(5 + -9i) = 0 (5 * 8i + -9i * 8i) = 0 (40i + -72i2) = 0 Solving 40i + -72i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '8i'. 8i(5 + -9i) = 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 '(5 + -9i)' equal to zero and attempt to solve: Simplifying 5 + -9i = 0 Solving 5 + -9i = 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 + -9i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9i = 0 + -5 -9i = 0 + -5 Combine like terms: 0 + -5 = -5 -9i = -5 Divide each side by '-9'. i = 0.5555555556 Simplifying i = 0.5555555556Solution
i = {0, 0.5555555556}
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