Question

Solve 2 - 5|5x – 5| = -73 O x = 2,4 O X = -2,4 O x=-39, 39 O x = Empty Set

Answer 1

x = -2, 4.

Step-by-step explanation:

Given the absolute equation:

`2-5|5x-5|=-73`

First, we subtract 2 from both sides.

`\begin{gathered} 2-2-5|5x-5|=-73-2 \\ -5|5x-5|=-75 \end{gathered}`

Next, we divide both sides of the equation by -5.

`\begin{gathered} (-5|5x-5|)/(-5)=(-75)/(-5) \\ |5x-5|=15 \end{gathered}`

Next, we solve the absolute value.

`5x-5=15\text{ or }5x-5=-15`

Solving, we have:

`\begin{gathered} 5x-5=15\implies5x=15+5\implies5x=20\implies x=(20)/(5)\implies x=4 \\ 5x-5=-15\implies5x=-15+5\implies5x=-10\implies x=(-10)/(5)\implies x=-2 \end{gathered}`

Therefore:

x = -2, 4.