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Simplifying (-2i)(-2 + -3i) = 0 Remove parenthesis around (-2i) -2i(-2 + -3i) = 0 (-2 * -2i + -3i * -2i) = 0 (4i + 6i2) = 0 Solving 4i + 6i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2i'. 2i(2 + 3i) = 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 '(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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