I am trying to solve for non linear equations in python. I have tried using the solver of the Sympy but it doesn't seem to work in a for loop statement. I am tyring to solve for the variable x over a range of inputs [N].

I have attached my code below

import numpy as np
import matplotlib.pyplot as plt
from sympy import *

fcurvecoefficients = [-7.14285714e-02, 1.96333333e+01, 6.85130952e+03]
S = [0.2122, 0, 0]

a2 = fcurvecoefficients[0]
a1 = fcurvecoefficients[1]
a0 = fcurvecoefficients[2]

s2 = S[0]
s1 = S[1]
s0 = S[2]

answer=[]
x = symbols('x')
for N in range(0,2500,5):
solve([a2x2+a1Nx+a0N2-s2*x2-s1*x-s0-0])
answer.append(x)

print(answer)
There could be more efficient ways of solving this problem than using sympy * any help will be much appreicated.

Note I am still new to python, after transisitioning from Matlab. I could easliy solve this problem in Matlab https://bit.ly/30g9HQK and could attach the code, but I am battiling with this in Python