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Simplifying (8 + -7i)(9 + 8i) = 0 Multiply (8 + -7i) * (9 + 8i) (8(9 + 8i) + -7i * (9 + 8i)) = 0 ((9 * 8 + 8i * 8) + -7i * (9 + 8i)) = 0 ((72 + 64i) + -7i * (9 + 8i)) = 0 (72 + 64i + (9 * -7i + 8i * -7i)) = 0 (72 + 64i + (-63i + -56i2)) = 0 Combine like terms: 64i + -63i = 1i (72 + 1i + -56i2) = 0 Solving 72 + 1i + -56i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -7i)(9 + 8i) = 0Subproblem 1
Set the factor '(8 + -7i)' equal to zero and attempt to solve: Simplifying 8 + -7i = 0 Solving 8 + -7i = 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 + -7i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7i = 0 + -8 -7i = 0 + -8 Combine like terms: 0 + -8 = -8 -7i = -8 Divide each side by '-7'. i = 1.142857143 Simplifying i = 1.142857143Subproblem 2
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 = -1.125Solution
i = {1.142857143, -1.125}
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