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Simplifying 6i(8 + -5i) = 0 (8 * 6i + -5i * 6i) = 0 (48i + -30i2) = 0 Solving 48i + -30i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(8 + -5i) = 0 Ignore the factor 6.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 '(8 + -5i)' equal to zero and attempt to solve: Simplifying 8 + -5i = 0 Solving 8 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5i = 0 + -8 -5i = 0 + -8 Combine like terms: 0 + -8 = -8 -5i = -8 Divide each side by '-5'. i = 1.6 Simplifying i = 1.6Solution
i = {0, 1.6}
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