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Simplifying (9 + -8i)(8 + i) = 0 Multiply (9 + -8i) * (8 + i) (9(8 + i) + -8i * (8 + i)) = 0 ((8 * 9 + i * 9) + -8i * (8 + i)) = 0 ((72 + 9i) + -8i * (8 + i)) = 0 (72 + 9i + (8 * -8i + i * -8i)) = 0 (72 + 9i + (-64i + -8i2)) = 0 Combine like terms: 9i + -64i = -55i (72 + -55i + -8i2) = 0 Solving 72 + -55i + -8i2 = 0 Solving for variable 'i'. Factor a trinomial. (9 + -8i)(8 + i) = 0Subproblem 1
Set the factor '(9 + -8i)' equal to zero and attempt to solve: Simplifying 9 + -8i = 0 Solving 9 + -8i = 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 + -8i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8i = 0 + -9 -8i = 0 + -9 Combine like terms: 0 + -9 = -9 -8i = -9 Divide each side by '-8'. i = 1.125 Simplifying i = 1.125Subproblem 2
Set the factor '(8 + i)' equal to zero and attempt to solve: Simplifying 8 + i = 0 Solving 8 + i = 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 + i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + i = 0 + -8 i = 0 + -8 Combine like terms: 0 + -8 = -8 i = -8 Simplifying i = -8Solution
i = {1.125, -8}
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