Question

What is the solution to -212.2x - 3.31 = -6.6?O x= -3Ox= 3O x= -3 or x = 0O x = 0 or x = 3

Answer 1

The given expression is-

$-2|2.2x-3.3|=6.6$

First, we divide the equation by -2.

$\begin{gathered} \frac{-2|2.2x-3.3|}{-2}=\frac{6.6}{-2} \\ |2.2x-3.3|=-3.3 \end{gathered}$

Now, we rewrite the absolute value equation in two more equations

$\begin{gathered} 2.2x-3.3=-3.3 \\ 2.2x-3.3=-(-3.3) \end{gathered}$

Let's solve each of them

$\begin{gathered} 2.2x-3.3=-3.3 \\ 2.2x-3.3+3.3=-3.3+3.3 \\ 2.2x=0 \\ x=\frac{0}{2.2}=0 \end{gathered}$

The first solution is zero.

$\begin{gathered} 2.2x-3.3=-(-3.3) \\ 2.2x-3.3=3.3 \\ 2.2x-3.3+3.3=3.3+3.3 \\ 2.2x=6.6 \\ x=\frac{6.6}{2.2}=3 \end{gathered}$

The second solution is 3.

Therefore, the rigt answer is x = 0 or x = 3.heref