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Simplifying (8 + 3i)(8 + 3i) = 0 Multiply (8 + 3i) * (8 + 3i) (8(8 + 3i) + 3i * (8 + 3i)) = 0 ((8 * 8 + 3i * 8) + 3i * (8 + 3i)) = 0 ((64 + 24i) + 3i * (8 + 3i)) = 0 (64 + 24i + (8 * 3i + 3i * 3i)) = 0 (64 + 24i + (24i + 9i2)) = 0 Combine like terms: 24i + 24i = 48i (64 + 48i + 9i2) = 0 Solving 64 + 48i + 9i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + 3i)(8 + 3i) = 0Subproblem 1
Set the factor '(8 + 3i)' equal to zero and attempt to solve: Simplifying 8 + 3i = 0 Solving 8 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3i = 0 + -8 3i = 0 + -8 Combine like terms: 0 + -8 = -8 3i = -8 Divide each side by '3'. i = -2.666666667 Simplifying i = -2.666666667Subproblem 2
Set the factor '(8 + 3i)' equal to zero and attempt to solve: Simplifying 8 + 3i = 0 Solving 8 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3i = 0 + -8 3i = 0 + -8 Combine like terms: 0 + -8 = -8 3i = -8 Divide each side by '3'. i = -2.666666667 Simplifying i = -2.666666667Solution
i = {-2.666666667, -2.666666667}
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