Solving Quadratic Equations by Factoring

Steps in how to solve a quadratic equation using factoring

Example no. 1: x² + 6x + 5 = 0

Step 1 :

To factorize the equation

x² + 9x + 8 = 0, we need to break down the quadratic term (9x) into two terms whose coefficients multiply to give 8 and add up to 9. Which is 1 and 8.

Step 2 :

(x + 1) (x + 5)

Step 3:

(x + 1) = 0

Transpose 1 to the right side

x = -1

(x + 5) = 0

Transpose 5 to the right side

x = -5

The final answer is : x = -1 and x = -5

Example no. 2: x² + 9x + 8= 0

Step 1 :

To factorize the equation x² + 9x + 8 = 0, we need to break down the quadratic term (9x) into two terms whose coefficients multiply to give 8 and add up to 9. Which is 1 and 8.

Step 2 :

Rewrite the equation

(x + 1) (x +8)

Step 3 :

Find the value of x

(x + 1) = 0

Transpose 1 to the right side

x = -1

(x + 8. ).= 0

Transpose 8 to the right side

x = -8

The final answer is : x = -1 and x = -8