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Simplifying (6 + -7i)(6 + -7i) = 0 Multiply (6 + -7i) * (6 + -7i) (6(6 + -7i) + -7i * (6 + -7i)) = 0 ((6 * 6 + -7i * 6) + -7i * (6 + -7i)) = 0 ((36 + -42i) + -7i * (6 + -7i)) = 0 (36 + -42i + (6 * -7i + -7i * -7i)) = 0 (36 + -42i + (-42i + 49i2)) = 0 Combine like terms: -42i + -42i = -84i (36 + -84i + 49i2) = 0 Solving 36 + -84i + 49i2 = 0 Solving for variable 'i'. Factor a trinomial. (6 + -7i)(6 + -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 '(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 = 0.8571428571Solution
i = {0.8571428571, 0.8571428571}
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