The product of two numbers is 192. The first number is negative, and the second number is eight more than four times the first number. Find the two numbers.

-x * y = 192

y = - 4x + 8

-x (-4x + 8) = 192

4x^2 - 8x = 192

4x^2 - 8x - 192 = 0

4 (x^2 - 2x - 48) = 0

4 (x - 8) (x + 6) = 0

x - 8 = 0

x = 8 ... nope, it has to be negative

x + 6 = 0

x = - 6 <==

y = - 4 (x) + 8

y = - 4 (-6) + 8

y = 24 + 8

y = 32 <==

so ur 2 numbers are - 6 and 32