For equation in the form of ax^{2} + bx + c =
0, the values of x which serves the solutions of equation is
given by:

Factoring

The commonly used fundamental tools for using factorization
method is addition, subtraction, multiplication, and division.

Completing the square

For equation
in the form of ax^{2} + bx + c =
0, its square can be given in the form of a(x+d)^{2 }+ e = 0. Where d =
b/2a and e = c – b^{2}/4a

Discriminant

For equation in the form of ax^{2} + bx + c =
0, its discriminant is given byb^{2} - 4ac. If D > 0, then equation has 2 real solutions; If D = 0, the
equation has 1 real solution; If D < 0, the equation has 2 conjugate
imaginary solutions. The value of x for solution of given equation is given by ((-b±√D))/2a