Square of 6x plus 11x minus 60 = 0 to solve the equation

Square of 6x plus 11x minus 60 = 0 to solve the equation

6x^2+11x-60=0
x=[-11±√(121+1440)]/12
=(-11±√1561)/12
If you don't understand, I wish you a happy study!

Solving cubic equation x ^ 3-2x ^ 2-5x + 6 = 0

X^3 - 2X^2 - 5X +6 =0
X(X^2 - 2X - 5) +6 =0
X(X - 1)^ 2- 6X +6 =0
X(X - 1)^2 - 6(X - 1)=0
(X - 1)(X^2 - X -6 )=0
(X - 1)(X + 2)(X - 3)=0
X=1 X=-2 X=3
My process may be a bit troublesome, but it's still a good way

How to solve the cubic equation of x ^ 3-5X = 2

x³-4x-x-2=0
x(x+2)(x-2)-(x+2)=0
(x+2)(x²-2x-1)=0
x+2=0,x²-2x-1=0
x=-2,x=1-√2,x=1+√2

X ^ 3-6x ^ 2 + 11x-6 factorization detailed process and method, thank you!

Group decomposition method
x³－6x²＋11x－6
=(x³－6x²＋5x)＋(6x－6)
=x(x²－6x＋5)＋6(x－1)
=x(x－5)(x－1)＋6(x－1)
=(x－1)(x²－5x＋6)
=(x－1)(x－2)(x－3)