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Simplifying 3i(6 + -4i) = 0 (6 * 3i + -4i * 3i) = 0 (18i + -12i2) = 0 Solving 18i + -12i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(3 + -2i) = 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 '(3 + -2i)' equal to zero and attempt to solve: Simplifying 3 + -2i = 0 Solving 3 + -2i = 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 + -2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2i = 0 + -3 -2i = 0 + -3 Combine like terms: 0 + -3 = -3 -2i = -3 Divide each side by '-2'. i = 1.5 Simplifying i = 1.5Solution
i = {0, 1.5}
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