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Simplifying 12(-2i) + 8i(-2i) = 0 Remove parenthesis around (-2i) 12 * -2i + 8i(-2i) = 0 Multiply 12 * -2 -24i + 8i(-2i) = 0 Remove parenthesis around (-2i) -24i + 8i * -2i = 0 Reorder the terms for easier multiplication: -24i + 8 * -2i * i = 0 Multiply 8 * -2 -24i + -16i * i = 0 Multiply i * i -24i + -16i2 = 0 Solving -24i + -16i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-8i'. -8i(3 + 2i) = 0 Ignore the factor -8.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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