Comparing coefficients and solving equation

Hello everyone,

I would like to find the values of variables comparing coefficients in equation. Let's have a look at an easy example.

x^2 + 2*x + 5 = (b+4*a)*x^2 + (5*a+b)*x + (-b+2*a)

May someone help me with finding 'a' and 'b' value?

Thanks

Answer 1

[Paul]

syms x a b
eqn = x^2 + 2*x + 5 == (b+4*a)*x^2 + (5*a+b)*x + (-b+2*a)

eqn = 

cleft = coeffs(lhs(eqn),x,'all')

cleft = 

cright = coeffs(rhs(eqn),x,'all')

cright = 

sol = solve(cleft == cright,[a b])

sol = struct with fields:
    a: 1
    b: -3

Verify

isAlways(subs(eqn,sol))

ans = logical
   1

[Jakub]

Thank you so much!