Question

How do you graph and solve `| 5 x + 5 | = 0`?

Answer 1

`x=(-1)`
I have no idea how you would graph this context other than a line parallel to the y-axis that passes through `x=-1` ?????

Explanation:

The value on the right is zero. So what is on the left has to have the same value as zero.

So `|5x+5| -=0`

As far as I can see `x` can only have 1 value and that is `(-1)`
This is because `|0|=0`

and `5xx(-1)+5 = 0`

so `| 5xx(-1)+5 | =0`

Answer 2

`x=-1`
The graph should be v-shaped.

Explanation:

Solving the equation for `x`.

`abs(5x+5)=0`

Remove the absolute value.

`5x+5=0`

Subtract `5` from both sides.

`5x=-5`

Divide both sides by `5`.

`x=(-5)/5`

`x=-1`

Graphing the Equation

`abs(5x+5)=0`

Since the expression inside the absolute value bars can be positive or negative, and we need to graph it, we need to substitute `y` for `0` so we can get points to plot on the graph.

`abs(5x+5)=y`

Now we need to substitute positive and negative values for `x` and solve for `y`.

Table of Points
`x=-3,` `y=10`
`x=-2,` `y=5`
`x=-1,` `y=0`
`x=0,` `y=5`
`x=1,` `y=10`
`x=2,` `y=15`
`x=3,` `y=20`

Plot the points, then connect the dots. You should have a v-shaped graph.

graph{y=abs(5x+5) [-16.42, 15.6, -2.69, 13.33]}