Math help anyone ? : What is the solution set of the equation | 4a+6 | - 4a = -10

thankss

Okay - you can split this into two equations. First, if 4a+6 > 0:

4a+6 = 4a - 10, 6 = -10 (false): NO SOLUTION.

Second, if 4a+6 < 0:

-(4a+6) = 4a - 10
4 = 8a
a = 1/2

But this isn't in the range 4a+6 < 0, so there are NO SOLUTIONS to this.

If a were negative, then the left side would be positive; but the right side is negative, so there are no negative solutions for a. Knowing that, we then know that |4a + 6| = 4a + 6. Inserting this,

4a + 6 - 4a = -10
6 = -10

which is false for all a.

Therefore, there is no solution.