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Simplifying (5 + -4i)(5 + -4i) = 0 Multiply (5 + -4i) * (5 + -4i) (5(5 + -4i) + -4i * (5 + -4i)) = 0 ((5 * 5 + -4i * 5) + -4i * (5 + -4i)) = 0 ((25 + -20i) + -4i * (5 + -4i)) = 0 (25 + -20i + (5 * -4i + -4i * -4i)) = 0 (25 + -20i + (-20i + 16i2)) = 0 Combine like terms: -20i + -20i = -40i (25 + -40i + 16i2) = 0 Solving 25 + -40i + 16i2 = 0 Solving for variable 'i'. Factor a trinomial. (5 + -4i)(5 + -4i) = 0Subproblem 1
Set the factor '(5 + -4i)' equal to zero and attempt to solve: Simplifying 5 + -4i = 0 Solving 5 + -4i = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4i = 0 + -5 -4i = 0 + -5 Combine like terms: 0 + -5 = -5 -4i = -5 Divide each side by '-4'. i = 1.25 Simplifying i = 1.25Subproblem 2
Set the factor '(5 + -4i)' equal to zero and attempt to solve: Simplifying 5 + -4i = 0 Solving 5 + -4i = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4i = 0 + -5 -4i = 0 + -5 Combine like terms: 0 + -5 = -5 -4i = -5 Divide each side by '-4'. i = 1.25 Simplifying i = 1.25Solution
i = {1.25, 1.25}
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