# Solve Quadratics on the ASVAB AFQT Using the Quadratic Formula

Quadratic equations on the ASVAB AFQT can often be solved with the square-root method (when they’re simple) or the factoring method (as long as *a* = 1 in the form, *ax*^{2} + *bx* + *c* = 0).

But what if they’re more complicated? And what if you try to use the factoring method, but you find that *a* doesn’t equal 1, or that you can’t easily find two numbers that multiply to *c* and add up to *b*?

In these cases, you can rely on the quadratic formula to solve any quadratic equation. So why not just use the quadratic formula and forget about the square-root and factoring methods? Because the quadratic formula is kind of complex:

The quadratic formula uses the *a, b,* and *c* from *ax*^{2} + *bx* + *c* = 0, just like the factoring method.

Armed with this knowledge, you can apply your skills to a complex quadratic equation:

Solve: 2*x*^{2} – 4*x* – 3 = 0

In this equation, *a* = 2, *b* = –4, and *c* = –3. Plug the known values into the quadratic formula and simplify: