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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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