00:01
Hello! so here we're given the equation 1 divided or over 3 or the absolute value of 3 minus 4x is going to be equal to 2.
00:10
If we multiply both sides here by the absolute value of 3 minus 4x, what do we get? we just get that 1 is going to be equal to, well, 2 times the absolute value of 3 minus 4x.
00:25
We can then divide by 2 and get that 1 half is going to be equal to the absolute value of 3 minus 4x.
00:34
Well, that means that 3 minus 4x could either be equal to 1 half or it could be equal to negative 1 half because the positive or negative value of 1 half, the modulus or the absolute value of that, the distance from 0, is going to be 1 half.
00:47
So, we can just set 3 minus 4x equal to 1 half.
00:53
Solving for this, we subtract 3 from both sides.
00:56
We get negative 4x is going to be equal to, well, we do 1 half minus 3.
01:01
So 3 is 6 halves and 1 half minus 6 halves is negative 5 halves.
01:07
And we divide by negative 4 and get that x is going to be equal to, well, negative 5 halves...