SOLUTION: I cannot figure out this quadratic eqation: x^2 + x =0

Question 297637: I cannot figure out this quadratic eqation: x^2 + x =0
Found 2 solutions by nyc_function, richwmiller:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
x^2 + x = 0
Factor the left side.
x(x + 1) = 0
Set each factor to zero.
x = 0
or
x + 1 = 0
x = -1
Answers: x = 0 and x = -1

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
There are several ways to do this.
factor
x*(x+1)=0
x=0
x=-1
(x=0,-1)
complete the square
x^2+x+ (1/2)^2=1/4
(x+1/2)^2=1/4
x+1/2=1/2
x=0
x+1/2=-1/2
x=-1
x=(0,-1)
quadratic equation

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, -1. Here's your graph:

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