Algebra-2

To solve the equation -6|-5x - 4| = -36, we will first isolate the absolute value term.

Step 1: Isolate the Absolute Value

Divide both sides by -6.

|-5x - 4| =

|-5x - 4| = 6

 

Step 2: Set Up Cases for Absolute Value

Now we can set up two cases based on the definition of absolute value:

1.Case 1:

-5x - 4 = 6

 

2.Case 2:

-5x - 4 = -6

 

Step 3: Solve Each Case

For Case 1:

-5x - 4 = 6

Add 4 to both sides:

-5x = 6 + 4

-5x = 10

Now, divide by -5:

x =

x = -2

 

For Case 2:

-5x - 4 = -6

Add 4 to both sides:

-5x = -6 + 4

-5x = -2

Now, divide by -5:

x =

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