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Simplifying (2i)(-1i) + (6i) = 0 Remove parenthesis around (2i) 2i(-1i) + (6i) = 0 Remove parenthesis around (-1i) 2i * -1i + (6i) = 0 Reorder the terms for easier multiplication: 2 * -1i * i + (6i) = 0 Multiply 2 * -1 -2i * i + (6i) = 0 Multiply i * i -2i2 + (6i) = 0 Reorder the terms: (6i) + -2i2 = 0 Solving (6i) + -2i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2i'. 2i(3 + -1i) = 0 Ignore the factor 2.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 + -1i)' equal to zero and attempt to solve: Simplifying 3 + -1i = 0 Solving 3 + -1i = 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 + -1i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = 0 + -3 -1i = 0 + -3 Combine like terms: 0 + -3 = -3 -1i = -3 Divide each side by '-1'. i = 3 Simplifying i = 3Solution
i = {0, 3}
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