### Solution with Steps

Enter the 3 coefficients of the quadratic equation in the above boxes.Next, press the button to solve the equation with steps.

### How to Solve a Quadratic Equation

has the 2 solutions:

### Sample Problem: How to solve a Quadratic Equation by Factoring

What are the zeros of 2x^2+5x-3 ?

It means solving the quadratic equation 2x^2+5x-3=0 .

The fast way to solve the quadratic equation is by factoring which means to rewrite

2x^2+5x-3 as 2(x+p)*(x+q)

Testing p=-3 and q=.5 yields indeed

2x^2+5x-3 = 2(x-3)*(x+0.5)

implying the two solutions are x=3 and x=-1/2 .

Using the above Quadratic Equation Calculator to solve 2x^2+5x-3=0 we must enter the coefficients a=2, b=5 and c=-3. With steps we see the two solutions are x=3 and x=-1/2 .

Get it now? Try the above Quadratic Equation Calculator a few more times.