## The problem

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Why can’t you show the step for this question

## Answer provided by our tutors

You need to break the equation into 2 equations and solve them separately.

The following equation:

|6x|=|9x+1|

Breaks into two equations according to the definition for absolute value:

|9x+1| = 6x

and

|9x+1| = - 6x

Now, use the solver to solve:

|9x+1| = 6x

........

Click here to see the step by step solution

........

This equation has no solutions.

|9x+1| = - 6x

..........

Click here to see the step by step solution

..........

x1 = -1/3

x2 = -1/15

The two solutions for the equation are -1/3 and -1/15.

You can also graph:

y = |6x| and y = |9x + 1|

and find the solution in the intercept:

Click here to see the graph.