I have two equations, I'm pretty sure I can solve them, but the method I know of is was too long, and I've never had to use very long methods to solve any problems so far. I'm wondering if there's some shortcut method that I don't know, or that I'm forgetting. Here are the equations(I have solve for x): 1. [itex]x^6 - 26x^3 - 27 = 0[/itex] 2. [itex](x^2 + 2x)^2 - (x^2 + 2x) -12 = 0[/itex] For 1, I thought of doing this: [itex]x^3(x^3 - 26) - 27 = 0[/itex] That was all I could come up with, I'm not sure what to do next. As for 2, I did this: [itex]x^4 + 4x^3 + 4x^2 - x^2 - 2x - 12 = 0[/itex] [itex]x^4 + 4x^3 + 3x^2 -2x -12 = 0[/itex] That's as far as I could get, I figred I could get the factors by continuosly long dividing the polynomial by a factor I could find using the factor theore, but I didn't really want to have do that much work, isn't there a shortcut method? A way of grouping them or something? I'm wondering this about both of the equations. Thanks in advance.