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Simplifying (-9 + 7i)(-6 + 7i) = 0 Multiply (-9 + 7i) * (-6 + 7i) (-9(-6 + 7i) + 7i * (-6 + 7i)) = 0 ((-6 * -9 + 7i * -9) + 7i * (-6 + 7i)) = 0 ((54 + -63i) + 7i * (-6 + 7i)) = 0 (54 + -63i + (-6 * 7i + 7i * 7i)) = 0 (54 + -63i + (-42i + 49i2)) = 0 Combine like terms: -63i + -42i = -105i (54 + -105i + 49i2) = 0 Solving 54 + -105i + 49i2 = 0 Solving for variable 'i'. Factor a trinomial. (6 + -7i)(9 + -7i) = 0Subproblem 1
Set the factor '(6 + -7i)' equal to zero and attempt to solve: Simplifying 6 + -7i = 0 Solving 6 + -7i = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7i = 0 + -6 -7i = 0 + -6 Combine like terms: 0 + -6 = -6 -7i = -6 Divide each side by '-7'. i = 0.8571428571 Simplifying i = 0.8571428571Subproblem 2
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 = 1.285714286Solution
i = {0.8571428571, 1.285714286}
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