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Simplifying 6i(4 + 2i) = 0 (4 * 6i + 2i * 6i) = 0 (24i + 12i2) = 0 Solving 24i + 12i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '12i'. 12i(2 + i) = 0 Ignore the factor 12.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 + i)' equal to zero and attempt to solve: Simplifying 2 + i = 0 Solving 2 + i = 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 + i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + i = 0 + -2 i = 0 + -2 Combine like terms: 0 + -2 = -2 i = -2 Simplifying i = -2Solution
i = {0, -2}
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