SOLUTION: Solve, writing any non-real solutions in the form 𝑎 ± 𝑏𝑖: 2𝑥(1/2x+1)=-2x-5

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Question 1128873: Solve, writing any non-real solutions in the form 𝑎 ± 𝑏𝑖: 2𝑥(1/2x+1)=-2x-5
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
.
2x%2A%28%281%2F2%29x%2B1%29 = -2x+-+5


x%5E2+%2B+2x = -2x+-+5


x%5E2+%2B+4x+%2B+5 = 0


x%5B1%2C2%5D = %28-4+%2B-+sqrt%284%5E2+-+4%2A1%2A5%29%29%2F2 = %28-4+%2B-+sqrt%28-4%29%29%2F2 = -2+%2B-+sqrt%28-1%29%29 = -2 +- i.


x%5B1%5D = -2 + i;   x%5B2%5D = -2 - i.


The roots are found and presented in the requested form .

Solved, answered and completed.