Solve the absolute value equation.
l4x-2l-9=9
To solve the absolute value equation, we need to isolate the absolute value expression and then split it into two separate equations, one for when the expression inside the absolute value is positive and one for when it is negative.
First, let's isolate the absolute value expression:
|4x-2| = 18
To split the absolute value expression, we can set it equal to both the positive and negative value of 18:
4x-2 = 18 or 4x-2 = -18
Now we can solve each of the equations separately:
For 4x-2 = 18:
Adding 2 to both sides:
4x = 20
Dividing both sides by 4:
x = 5
For 4x-2 = -18:
Adding 2 to both sides:
4x = -16
Dividing both sides by 4:
x = -4
So the solutions to the absolute value equation are x = 5 and x = -4.