3 times a number is 54 less than the square of that number. Find the negative solution.

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 - 54

Subtract 3x

3x-3x = x^2 - 3x-54

0 = x^2 - 3x-54

Factor

What 2 numbers multiply to - 54 and add to - 3

-9*6 = - 54

-9+6 = - 3

0 = (x-9) (x+6)

Using the zero product property

x-9=0 x+6=0

x=9 x=-6

The questions asks for the negative solution

x=-6