# How do you solve #x^2-5x=14#?

##### 1 Answer

Set up two binomials.

The sum of the two numbers must be -5 and the product -14.

Then solve for x

#### Explanation:

Subtract 14 from both sides of the equation to equal 0

The -14 indicates that one number must be positive and one number must be negative.

The -5 indicates that the negative number must be larger than the positive number.

Factor -14 The possibilities are

The combination that works is

Now set both binomials equal to zero and solve for x