Hello again
To find the equation that has no solution, we gonna solve them one by one until we find it.
Let's start with the first option
6|x|=0
|x| = 0/6
|x| = 0
Solve absolute value
We know x = 0
Thus,
x = 0
Now let's solve the second option
5|x| = 5
|x| = 5/5
|x| = 1
Solve absolute value
we know x = 1 or x=-1
Thus,
the answer is x = 1 or x = -1
Solve the last option
-5|x| = 25
|x|= 25/-5
|x| = -5
We cannot solve for the absolute value because absolute value cannot be less than 0.
Thus,
No solution
The correct answer is option C -5|x|=25
Good luck!