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Simplifying 2i(4 + -6i) = 0 (4 * 2i + -6i * 2i) = 0 (8i + -12i2) = 0 Solving 8i + -12i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '4i'. 4i(2 + -3i) = 0 Ignore the factor 4.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 '(2 + -3i)' equal to zero and attempt to solve: Simplifying 2 + -3i = 0 Solving 2 + -3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3i = 0 + -2 -3i = 0 + -2 Combine like terms: 0 + -2 = -2 -3i = -2 Divide each side by '-3'. i = 0.6666666667 Simplifying i = 0.6666666667Solution
i = {0, 0.6666666667}
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