How to arrange equation variable on right and left hand side?

A*k*cos(phi - t*w) + A*c*w*sin(phi - t*w) - A*m*w^2*cos(phi - t*w) == p*cos(t*w)

I have this equation.

I want to get this equation as;

A = .....,

that is arranging all variables and functions to right and A to left.

How can I do it?

[Roger Stafford]

This is simple algebra. Factor out A from each of the three terms on the left side and then divide both sides by the remaining factor. That leaves A by itself on the left side.

Answer 1

[Karan Gill]

Starting R2017a, use the "isolate" function: https://www.mathworks.com/help/symbolic/isolate.html

Also see the "lhs" and "rhs" functions:

https://www.mathworks.com/help/symbolic/lhs.html

https://www.mathworks.com/help/symbolic/rhs.html

Answering the question using these functions:

>> syms A k phi t w c m p
>> eqn = A*k*cos(phi - t*w) + A*c*w*sin(phi - t*w) - A*m*w^2*cos(phi - t*w) == p*cos(t*w)
eqn =
A*k*cos(phi - t*w) + A*c*w*sin(phi - t*w) - A*m*w^2*cos(phi - t*w) == p*cos(t*w)

>> eqn = isolate(eqn,A)
eqn =
A == (p*cos(t*w))/(k*cos(phi - t*w) - m*w^2*cos(phi - t*w) + c*w*sin(phi - t*w))

>> lhs(eqn)
ans =
A

>> rhs(eqn)
ans =
(p*cos(t*w))/(k*cos(phi - t*w) - m*w^2*cos(phi - t*w) + c*w*sin(phi - t*w)