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Simplifying (9 + 7i)(9 + 7i) = 0 Multiply (9 + 7i) * (9 + 7i) (9(9 + 7i) + 7i * (9 + 7i)) = 0 ((9 * 9 + 7i * 9) + 7i * (9 + 7i)) = 0 ((81 + 63i) + 7i * (9 + 7i)) = 0 (81 + 63i + (9 * 7i + 7i * 7i)) = 0 (81 + 63i + (63i + 49i2)) = 0 Combine like terms: 63i + 63i = 126i (81 + 126i + 49i2) = 0 Solving 81 + 126i + 49i2 = 0 Solving for variable 'i'. Factor a trinomial. (9 + 7i)(9 + 7i) = 0Subproblem 1
Set the factor '(9 + 7i)' equal to zero and attempt to solve: Simplifying 9 + 7i = 0 Solving 9 + 7i = 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 + 7i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7i = 0 + -9 7i = 0 + -9 Combine like terms: 0 + -9 = -9 7i = -9 Divide each side by '7'. i = -1.285714286 Simplifying i = -1.285714286Subproblem 2
Set the factor '(9 + 7i)' equal to zero and attempt to solve: Simplifying 9 + 7i = 0 Solving 9 + 7i = 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 + 7i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7i = 0 + -9 7i = 0 + -9 Combine like terms: 0 + -9 = -9 7i = -9 Divide each side by '7'. i = -1.285714286 Simplifying i = -1.285714286Solution
i = {-1.285714286, -1.285714286}
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