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Simplifying -30i2 + 19i + 5 = 0 Reorder the terms: 5 + 19i + -30i2 = 0 Solving 5 + 19i + -30i2 = 0 Solving for variable 'i'. Factor a trinomial. (5 + -6i)(1 + 5i) = 0Subproblem 1
Set the factor '(5 + -6i)' equal to zero and attempt to solve: Simplifying 5 + -6i = 0 Solving 5 + -6i = 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 + -6i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6i = 0 + -5 -6i = 0 + -5 Combine like terms: 0 + -5 = -5 -6i = -5 Divide each side by '-6'. i = 0.8333333333 Simplifying i = 0.8333333333Subproblem 2
Set the factor '(1 + 5i)' equal to zero and attempt to solve: Simplifying 1 + 5i = 0 Solving 1 + 5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5i = 0 + -1 5i = 0 + -1 Combine like terms: 0 + -1 = -1 5i = -1 Divide each side by '5'. i = -0.2 Simplifying i = -0.2Solution
i = {0.8333333333, -0.2}
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