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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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