Solve the Equation: Finding x in x² + x = 0

Video Solution

Solution Steps

00:05 Let's solve this math problem together.

00:08 First, we break it down into smaller factors.

00:16 Now, look for any common factor we can take out.

00:27 Then, find out what makes each factor equal to zero.

00:31 Isolate the unknown variable. This gives us one solution. Let's find the second one.

00:39 And that's how we find the solution to the question. Nice work!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Start by factoring the left-hand side of the equation:
$x^2 + x = x(x + 1)$

Step 2: Apply the Zero-Product Property:
Since $x(x + 1) = 0$ , we have two possible equations:
1) $x = 0$
2) $x + 1 = 0$

For the second equation, solve for $x$ :
$x + 1 = 0$ implies $x = -1$

Therefore, the solutions to the equation are $x = 0$ and $x = -1$ .

Hence, the value of the parameter $x$ is $x = 0, x = -1$ .