When 24 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

-3

Step-by-step explanation:

let the number be X

X^2-24=5x

X^2-5X-24=0

X^2-8x+3x-24=0

X(x-8)+3(x-8)=0

(x+3)(x-8)=0

X+3=0 or x-8=0

X=-3 or x=8

Therefore the negative value is -3

Step-by-step explanation:

x² - 24 = 5x

x² - 5x -24 = 0

x² -8x + 3x -24

Factorize

x( x - 8) + 3( x - 8)

(x + 3) (x - 8)

x + 3 = 0 or x - 8 = 0

x = -3 or x = 8

The negative solution is:

x = -3