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Campbell
Mathematics
6 September, 07:03
How do you do this equation: 9|5x+8|=54
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Simone Mccoy
6 September, 07:31
0
Answer (2 answers):
x = - 2/5, x = - 14/5
Step-by-step explanation:
First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.
9|5x+8|=54
|5x+8| = 54/9
|5x+8| = 6
Remember how absolute values turn everything positive? For example
|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.
|5x+8| = 6 and | - (5x+8) | = 6
now solve the first equation.
(Just remove the absolute value sign and solve it normally)
5x+8 = 6
5x = - 2
x = - 2/5
Now solve the other equation
- (5x+8) = 6
-5x - 8 = 6
-5x = 14
x = - 14/5
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