Question

Solve.

0 = x² + 14x + 40

Enter your answers in the boxes.
The solutions are
_____ and _____

Answer 1

The problem is set equal to zero.  (x+4)(x+10)=0 Therefore, x= -10, x= -4

Answer 2

The solutions are

-4 and -10

Explanation:

We are given a quadratic equation in terms of variable x as follows:

`x^2+14x+40=0`

We may solve this question by using the method of splitting the middle term in order to find the value of x from the equation.

The given equation could be written as:

`x^2+10x+4x+40=0`

Now on taking out the common terms in pair we get:

`x(x+10)+4(x+10)=0\\\\(x+4)(x+10)=0`

Hence, we get:

`x=-4\ and\ x=-10`