How can I rearrange an equation with only one variable?

How can I rearrange an equation like x^3+2*x^2+3*x-2=0 to a form set equal to an order of x such as x=(1/3)*(-x^3-2*x^2+2) in MATLAB?

Answer 1

[Bish Erbas]

Something like this?

syms x
eqn = (x^3+2*x^2+3*x-2 == 0);
pretty(isolate(eqn,3*x)/3)

[Troy Walton]

Not exactly. I'm looking for a way to isolate x from x^(any power!=1), but the m file is set for the equation to be user input. So the equation could be anything with only one independent variable. For more context, this is for a part of a fixed point method simplified to having only one variable, so at this point I'm trying to take f(x) and create a g(x) s.t. g(x)=x

[Star Strider]

Perhaps:

syms x 
Eq = x^3+2*x^2+3*x-2;
[Cfs,Trm] = coeffs(Eq,x)

Cfs =
[ 1, 2, 3, -2]

Trm =
[ x^3, x^2, x, 1]

Answer 2

[Walter Roberson]

Use coeffs() with the two-output form, probably with the 'all' option. Variable to take it with respect to can be found by symvar(). Check the entry corresponding to the variable to power 1, which will be the second-last entry of the 'all' output.

Now subtract the term (coefficient times x) from the original equation, take the negative, and divide by the coefficient of x.

You will need to decide how you want to proceed if the coefficient associated with variable^1 is 0.