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Simplifying 4i(2i + 3) = 0 Reorder the terms: 4i(3 + 2i) = 0 (3 * 4i + 2i * 4i) = 0 (12i + 8i2) = 0 Solving 12i + 8i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '4i'. 4i(3 + 2i) = 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 '(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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