Question

The first step in solving -4|x + 91| = -8 is:

a. Subtract the 9.
b. Create two problems, one with a positive 8 and one with a negative 8.
c. Divide the -4 to both sides of the equal sign, then do the problem twice.
d. The problem has no solutions.

Answer 1

To solve -4|x + 91| = -8, divide both sides by -4 and work with two possible scenarios: one where x + 91 = 2 and one where -(x + 91) = 2. Solve these scenarios to find the solutions.

Step-by-step explanation:

To solve the equation -4|x + 91| = -8, we can start by dividing both sides of the equation by -4 to get |x + 91| = 2. When we have an absolute value equation equal to a positive number, we can have two scenarios:

1. |x + 91| = 2
2. -(x + 91) = 2

In the first scenario, we can remove the absolute value signs by splitting it into two cases:

1. x + 91 = 2
2. -(x + 91) = 2

Solving these cases will give us the possible values of x. In the end, we obtain x = -93 or x = -89 as the solutions of the original equation.