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Simplifying (8 + -5i)(8 + -5i) = 0 Multiply (8 + -5i) * (8 + -5i) (8(8 + -5i) + -5i * (8 + -5i)) = 0 ((8 * 8 + -5i * 8) + -5i * (8 + -5i)) = 0 ((64 + -40i) + -5i * (8 + -5i)) = 0 (64 + -40i + (8 * -5i + -5i * -5i)) = 0 (64 + -40i + (-40i + 25i2)) = 0 Combine like terms: -40i + -40i = -80i (64 + -80i + 25i2) = 0 Solving 64 + -80i + 25i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -5i)(8 + -5i) = 0Subproblem 1
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 = 1.6Subproblem 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 = {1.6, 1.6}
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