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Simplifying (9 + -5i)(4 + -9i) = 0 Multiply (9 + -5i) * (4 + -9i) (9(4 + -9i) + -5i * (4 + -9i)) = 0 ((4 * 9 + -9i * 9) + -5i * (4 + -9i)) = 0 ((36 + -81i) + -5i * (4 + -9i)) = 0 (36 + -81i + (4 * -5i + -9i * -5i)) = 0 (36 + -81i + (-20i + 45i2)) = 0 Combine like terms: -81i + -20i = -101i (36 + -101i + 45i2) = 0 Solving 36 + -101i + 45i2 = 0 Solving for variable 'i'. Factor a trinomial. (4 + -9i)(9 + -5i) = 0Subproblem 1
Set the factor '(4 + -9i)' equal to zero and attempt to solve: Simplifying 4 + -9i = 0 Solving 4 + -9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9i = 0 + -4 -9i = 0 + -4 Combine like terms: 0 + -4 = -4 -9i = -4 Divide each side by '-9'. i = 0.4444444444 Simplifying i = 0.4444444444Subproblem 2
Set the factor '(9 + -5i)' equal to zero and attempt to solve: Simplifying 9 + -5i = 0 Solving 9 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5i = 0 + -9 -5i = 0 + -9 Combine like terms: 0 + -9 = -9 -5i = -9 Divide each side by '-5'. i = 1.8 Simplifying i = 1.8Solution
i = {0.4444444444, 1.8}
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