What is a solution of x² + 6x = –5?

1 answer

To find the solutions of the equation x² + 6x = -5, we first need to rearrange the equation into standard form:

x² + 6x + 5 = 0

Now, we can factor the equation:

(x + 1)(x + 5) = 0

Setting each factor to zero to find the solutions:

x + 1 = 0
x = -1

x + 5 = 0
x = -5

Therefore, the solutions of x² + 6x = -5 are x = -1 and x = -5.