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Simplifying (5 + -2i)(8 + -11i) = 0 Multiply (5 + -2i) * (8 + -11i) (5(8 + -11i) + -2i * (8 + -11i)) = 0 ((8 * 5 + -11i * 5) + -2i * (8 + -11i)) = 0 ((40 + -55i) + -2i * (8 + -11i)) = 0 (40 + -55i + (8 * -2i + -11i * -2i)) = 0 (40 + -55i + (-16i + 22i2)) = 0 Combine like terms: -55i + -16i = -71i (40 + -71i + 22i2) = 0 Solving 40 + -71i + 22i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + -11i)(5 + -2i) = 0Subproblem 1
Set the factor '(8 + -11i)' equal to zero and attempt to solve: Simplifying 8 + -11i = 0 Solving 8 + -11i = 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 + -11i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11i = 0 + -8 -11i = 0 + -8 Combine like terms: 0 + -8 = -8 -11i = -8 Divide each side by '-11'. i = 0.7272727273 Simplifying i = 0.7272727273Subproblem 2
Set the factor '(5 + -2i)' equal to zero and attempt to solve: Simplifying 5 + -2i = 0 Solving 5 + -2i = 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 + -2i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2i = 0 + -5 -2i = 0 + -5 Combine like terms: 0 + -5 = -5 -2i = -5 Divide each side by '-2'. i = 2.5 Simplifying i = 2.5Solution
i = {0.7272727273, 2.5}
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