**Quadratic Equations: Solving x² + 8x + 15 = 0**

### Introduction

In this article, we will explore how to solve a quadratic equation, specifically the equation x² + 8x + 15 = 0. We will learn how to factorize the equation and find its roots.

### What is a Quadratic Equation?

A quadratic equation is a polynomial equation of degree two, which means the highest power of the variable (x) is two. The general form of a quadratic equation is:

ax² + bx + c = 0

where a, b, and c are constants, and x is the variable.

### The Equation: x² + 8x + 15 = 0

The equation x² + 8x + 15 = 0 is a quadratic equation, and we can see that it fits the general form:

a = 1, b = 8, and c = 15

### Factoring the Equation

One way to solve a quadratic equation is to factorize it. Factoring means expressing the equation as a product of two binomials. In this case, we can factorize the equation as:

x² + 8x + 15 = (x + 3)(x + 5) = 0

### Finding the Roots

Once we have factored the equation, we can find the roots by setting each factor equal to zero:

(x + 3) = 0 or (x + 5) = 0

Solving for x, we get:

x + 3 = 0 --> x = -3

x + 5 = 0 --> x = -5

Therefore, the roots of the equation x² + 8x + 15 = 0 are x = -3 and x = -5.

### Conclusion

In this article, we have learned how to solve a quadratic equation by factoring and finding its roots. The equation x² + 8x + 15 = 0 is a perfect square, which means it can be easily factored and solved. By applying the techniques learned in this article, you can solve similar quadratic equations and unlock the secrets of algebra.