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Simplifying (7 + 9i)(7 + 9i) = 0 Multiply (7 + 9i) * (7 + 9i) (7(7 + 9i) + 9i * (7 + 9i)) = 0 ((7 * 7 + 9i * 7) + 9i * (7 + 9i)) = 0 ((49 + 63i) + 9i * (7 + 9i)) = 0 (49 + 63i + (7 * 9i + 9i * 9i)) = 0 (49 + 63i + (63i + 81i2)) = 0 Combine like terms: 63i + 63i = 126i (49 + 126i + 81i2) = 0 Solving 49 + 126i + 81i2 = 0 Solving for variable 'i'. Factor a trinomial. (7 + 9i)(7 + 9i) = 0Subproblem 1
Set the factor '(7 + 9i)' equal to zero and attempt to solve: Simplifying 7 + 9i = 0 Solving 7 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9i = 0 + -7 9i = 0 + -7 Combine like terms: 0 + -7 = -7 9i = -7 Divide each side by '9'. i = -0.7777777778 Simplifying i = -0.7777777778Subproblem 2
Set the factor '(7 + 9i)' equal to zero and attempt to solve: Simplifying 7 + 9i = 0 Solving 7 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9i = 0 + -7 9i = 0 + -7 Combine like terms: 0 + -7 = -7 9i = -7 Divide each side by '9'. i = -0.7777777778 Simplifying i = -0.7777777778Solution
i = {-0.7777777778, -0.7777777778}
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