Question

Question #dc951

Answer 1

`x = -3/10` `x = -1/2`

Explanation:

We need to solve this for both a positive and negative value in the absolute bars., this is because the absolute value is always positive so:

Remove bars:

`10x + 4 = 1`

Subtract 4 from both sides:

`10x = -3`

Divide both sides by 10:

`x = -3/10`

Now solve for `| -( 10x + 4) | = 1`

Remove bars:

`-( 10x + 4) = 1`

Remove bracket by multiplying:

`-10x -4 = 1`

Add 4 to both sides:

`-10x = 5`

Divide both sides by -10:

`x = - 5/10= -1/2`

Solutions are:

`x = -3/10`

`x = -1/2`