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Simplifying 2i(3 + -8i) = 0 (3 * 2i + -8i * 2i) = 0 (6i + -16i2) = 0 Solving 6i + -16i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2i'. 2i(3 + -8i) = 0 Ignore the factor 2.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 + -8i)' equal to zero and attempt to solve: Simplifying 3 + -8i = 0 Solving 3 + -8i = 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 + -8i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8i = 0 + -3 -8i = 0 + -3 Combine like terms: 0 + -3 = -3 -8i = -3 Divide each side by '-8'. i = 0.375 Simplifying i = 0.375Solution
i = {0, 0.375}
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