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Simplifying (7 + 3i)(7 + 3i) = 0 Multiply (7 + 3i) * (7 + 3i) (7(7 + 3i) + 3i * (7 + 3i)) = 0 ((7 * 7 + 3i * 7) + 3i * (7 + 3i)) = 0 ((49 + 21i) + 3i * (7 + 3i)) = 0 (49 + 21i + (7 * 3i + 3i * 3i)) = 0 (49 + 21i + (21i + 9i2)) = 0 Combine like terms: 21i + 21i = 42i (49 + 42i + 9i2) = 0 Solving 49 + 42i + 9i2 = 0 Solving for variable 'i'. Factor a trinomial. (7 + 3i)(7 + 3i) = 0Subproblem 1
Set the factor '(7 + 3i)' equal to zero and attempt to solve: Simplifying 7 + 3i = 0 Solving 7 + 3i = 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 + 3i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3i = 0 + -7 3i = 0 + -7 Combine like terms: 0 + -7 = -7 3i = -7 Divide each side by '3'. i = -2.333333333 Simplifying i = -2.333333333Subproblem 2
Set the factor '(7 + 3i)' equal to zero and attempt to solve: Simplifying 7 + 3i = 0 Solving 7 + 3i = 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 + 3i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3i = 0 + -7 3i = 0 + -7 Combine like terms: 0 + -7 = -7 3i = -7 Divide each side by '3'. i = -2.333333333 Simplifying i = -2.333333333Solution
i = {-2.333333333, -2.333333333}
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