+129852 2𝑥4 + 14𝑥3 + 6𝑥2 + 14𝑥 + 2 = 0
This has an irreducible factorization.....there is an algebraic method for solving a quartic...but....it's EXTREMELY messy !!!
We can give approximate solutions with a graph : https://www.desmos.com/calculator/o4ek4yiqx4
There are only two real roots x ≈ -6.705 ans x ≈ -0.149
The non-real roots are x ≈ -0.07295 + 0.99734 i and x ≈ -0.07295 - 0.99734 i
[ The non-real roots were calculated using Wolfram Alpha ] : https://www.wolframalpha.com/input/?i=2x%5E4+%2B+14x%5E3+%2B+6x%5E2+%2B+14x+%2B+2++%3D+0
