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Simplifying (9 + -7i)(8 + -5i) = 0 Multiply (9 + -7i) * (8 + -5i) (9(8 + -5i) + -7i * (8 + -5i)) = 0 ((8 * 9 + -5i * 9) + -7i * (8 + -5i)) = 0 ((72 + -45i) + -7i * (8 + -5i)) = 0 (72 + -45i + (8 * -7i + -5i * -7i)) = 0 (72 + -45i + (-56i + 35i2)) = 0 Combine like terms: -45i + -56i = -101i (72 + -101i + 35i2) = 0 Solving 72 + -101i + 35i2 = 0 Solving for variable 'i'. Factor a trinomial. (9 + -7i)(8 + -5i) = 0Subproblem 1
Set the factor '(9 + -7i)' equal to zero and attempt to solve: Simplifying 9 + -7i = 0 Solving 9 + -7i = 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 + -7i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7i = 0 + -9 -7i = 0 + -9 Combine like terms: 0 + -9 = -9 -7i = -9 Divide each side by '-7'. i = 1.285714286 Simplifying i = 1.285714286Subproblem 2
Set the factor '(8 + -5i)' equal to zero and attempt to solve: Simplifying 8 + -5i = 0 Solving 8 + -5i = 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 + -5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5i = 0 + -8 -5i = 0 + -8 Combine like terms: 0 + -8 = -8 -5i = -8 Divide each side by '-5'. i = 1.6 Simplifying i = 1.6Solution
i = {1.285714286, 1.6}
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