Simple polynomial equation solver.

MacOS -

This program simplifies and solves a polynomial second or lower degree equation.

Second degree example:

./simple-equation-solver "2x^2 + x = 5"
Reduced form: 2 * X^2 + 1 * X^1 - 5 * X^0 = 0
Polynomial degree: 2
Discriminant = 41, it's strictly positive, there are two solutions:
-1.85078
1.35078

First degree example:

./simple-equation-solver "28x + 32x -352* 23 = 14 * x^1 * X^2/x/X"
Reduced form: 46 * X^1 - 8096 * X^0 = 0
Polynomial degree: 1
The solution is:
176

Discriminant = 0 example:

./simple-equation-solver "5 + 10X =  -5x^2"
Reduced form: 5 * X^0 + 10 * X^1 + 5 * X^2 = 0
Polynomial degree: 2
Discriminant = 0, there is one solution:
-1

It also have solution with complex numbers when discriminant < 0:

/simple-equation-solver "5 + 3x + 3x^2 = 1"
Reduced form: 4 * X^0 + 3 * X^1 + 3 * X^2 = 0
Polynomial degree: 2
Discriminant = -39, it's strictly negative, there are two complex solutions:
-0.5 - i * 1.04083
-0.5 + i * 1.04083

Build and run on MacOS:

git submodule update --init --recursive
cmake -S . -B build
make -C build

./simple-equation-solver "first argument input" 
or
./simple-equation-solver
write into standard input stream