The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution.

The negative solution is - 2

Step-by-step explanation:

Let the number be x

x² - 16 = 6x

Equate the equation to zero (0)

x² - 6x - 16 = 0

Factorize

x² + 2x - 8x - 16 = 0

x (x + 2) - 8 (x + 2) = 0

Therefore,

(x-8) (x + 2) = 0

x - 8 = 0 or x + 2 = 0

x = 8 or x = - 2

The negative solution is - 2