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Simplifying (9 + 4i)(9 + 4i) = 0 Multiply (9 + 4i) * (9 + 4i) (9(9 + 4i) + 4i * (9 + 4i)) = 0 ((9 * 9 + 4i * 9) + 4i * (9 + 4i)) = 0 ((81 + 36i) + 4i * (9 + 4i)) = 0 (81 + 36i + (9 * 4i + 4i * 4i)) = 0 (81 + 36i + (36i + 16i2)) = 0 Combine like terms: 36i + 36i = 72i (81 + 72i + 16i2) = 0 Solving 81 + 72i + 16i2 = 0 Solving for variable 'i'. Factor a trinomial. (9 + 4i)(9 + 4i) = 0Subproblem 1
Set the factor '(9 + 4i)' equal to zero and attempt to solve: Simplifying 9 + 4i = 0 Solving 9 + 4i = 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 + 4i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4i = 0 + -9 4i = 0 + -9 Combine like terms: 0 + -9 = -9 4i = -9 Divide each side by '4'. i = -2.25 Simplifying i = -2.25Subproblem 2
Set the factor '(9 + 4i)' equal to zero and attempt to solve: Simplifying 9 + 4i = 0 Solving 9 + 4i = 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 + 4i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4i = 0 + -9 4i = 0 + -9 Combine like terms: 0 + -9 = -9 4i = -9 Divide each side by '4'. i = -2.25 Simplifying i = -2.25Solution
i = {-2.25, -2.25}
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