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Simplifying 4i(3i + -2) = 0 Reorder the terms: 4i(-2 + 3i) = 0 (-2 * 4i + 3i * 4i) = 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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