answer of x²+5x=0 in quadratic equation of grade 9

To solve the quadratic equation \( x^2 + 5x = 0 \), we follow these steps:

### Step 1: Factor the equation
First, factor out the common factor \(x\) from both terms:
\[
x(x + 5) = 0
\]

### Step 2: Set each factor equal to zero
For the product to equal zero, at least one of the factors must be zero. Therefore, we solve:
\[
x = 0
\]
or
\[
x + 5 = 0
\]

### Step 3: Solve each equation
1. \(x = 0\)
2. \(x + 5 = 0 \Rightarrow x = -5\)

### Solution:
The solutions are \( x = 0 \) and \( x = -5 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the quadratic formula for solving any quadratic equation?
2. How can you determine if a quadratic equation can be factored easily?
3. What is the discriminant, and how does it relate to the number of solutions?
4. How do you graph a quadratic equation like \(x^2 + 5x = 0\)?
5. What happens when a quadratic equation has complex solutions?

**Tip:** Always check if you can factor a quadratic equation before using the quadratic formula—it's often quicker!

Learn how to solve the quadratic equation x² + 5x = 0 using the factoring method. This step-by-step solution explains factoring, the zero product property, and provides solutions x = 0 and x = -5. Suitable for Grade 9 students studying algebra.

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