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Simplifying (14 + -5i)(14 + -5i) = 0 Multiply (14 + -5i) * (14 + -5i) (14(14 + -5i) + -5i * (14 + -5i)) = 0 ((14 * 14 + -5i * 14) + -5i * (14 + -5i)) = 0 ((196 + -70i) + -5i * (14 + -5i)) = 0 (196 + -70i + (14 * -5i + -5i * -5i)) = 0 (196 + -70i + (-70i + 25i2)) = 0 Combine like terms: -70i + -70i = -140i (196 + -140i + 25i2) = 0 Solving 196 + -140i + 25i2 = 0 Solving for variable 'i'. Factor a trinomial. (14 + -5i)(14 + -5i) = 0Subproblem 1
Set the factor '(14 + -5i)' equal to zero and attempt to solve: Simplifying 14 + -5i = 0 Solving 14 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5i = 0 + -14 -5i = 0 + -14 Combine like terms: 0 + -14 = -14 -5i = -14 Divide each side by '-5'. i = 2.8 Simplifying i = 2.8Subproblem 2
Set the factor '(14 + -5i)' equal to zero and attempt to solve: Simplifying 14 + -5i = 0 Solving 14 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5i = 0 + -14 -5i = 0 + -14 Combine like terms: 0 + -14 = -14 -5i = -14 Divide each side by '-5'. i = 2.8 Simplifying i = 2.8Solution
i = {2.8, 2.8}
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