How do you solve #x^2-5x=14#?
Set up two binomials.
The sum of the two numbers must be -5 and the product -14.
Then solve for x
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