4 times a number is 32 less than the square of that number. Find the negative solution.

The negative solution is - 4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

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

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = - 4

The negative solution is - 4