Help me with this annoying trial and error question?

#45

New member
I am finding the coordinates of stationary point of the equation y = x^4 - 2x^3 - 5x^2 + 6.

First, I found y´ = 4x^3 - 6x^2 - 10x

Then I was going to find all the x coordinates but now I am stumped.

So I´ve got, 4x^3 - 6x^2 - 10x = 0

Then, 2x(2x^2 - 3x - 10) = 0

Now I am trying trial and error but I can´t get the damn thing right and this will undoubtedly take me til doomsday unless somebody helps me figure this out.
 
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