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Simplifying 5i2 + 44i + 63 = 0 Reorder the terms: 63 + 44i + 5i2 = 0 Solving 63 + 44i + 5i2 = 0 Solving for variable 'i'. Factor a trinomial. (7 + i)(9 + 5i) = 0Subproblem 1
Set the factor '(7 + i)' equal to zero and attempt to solve: Simplifying 7 + i = 0 Solving 7 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + i = 0 + -7 i = 0 + -7 Combine like terms: 0 + -7 = -7 i = -7 Simplifying i = -7Subproblem 2
Set the factor '(9 + 5i)' equal to zero and attempt to solve: Simplifying 9 + 5i = 0 Solving 9 + 5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5i = 0 + -9 5i = 0 + -9 Combine like terms: 0 + -9 = -9 5i = -9 Divide each side by '5'. i = -1.8 Simplifying i = -1.8Solution
i = {-7, -1.8}
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