hey i have some examples regarding to your problem, may be this is beneficial for you, try it.
Assume that we have an equation as given below:
ax^{2} + bx + c = 0
Whereas a, b and c are constants, and a≠ 0. The equation is referred to as the common quadratic equation in x. if b = 0 after that we have
ax^{2} + c = 0
that is a pure quadratic equation
There are three usual methods for solving quadratic equations; solution via factorization, solution via completing the square and solution via the quadratic formula.