Solve Quadratic Equations using the Quadratic Equation Formula

x2+x+=0



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

Quadratic Equation

has the 2 solutions:

Quadratic Formula Equation

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.