0
x2 +x=3x-5
so x2 -2x+5=0
which does not factor ( over the real numbers) so you can either complete the square of use the quadratic equation to solve.
Let's complete the square.
(x-1)2 =-4
x-1= plus of minus 2i
so x=1+2i or x=1-2i
Now check it just as you would a real answer.
1+2i -1 is 2i
and 2i squared is -4 as desired
Now 1-2i-1 is -2i and (-2i) squared is -4 also.
We know the answer is not real if we simply calculated the discriminant.
b2 -4ac=4-4(5)<0 so there are no real answers as we found.
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