Question

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution

Answer 1

\(\bf -3|2x + 6| = -12\implies |2x + 6| =\cfrac{-12}{-3}\implies|2x + 6| =4\\ \quad \\

|2x + 6| =4\implies
\begin{cases}
+(2x + 6) =4\\ \quad \\
\bf -(2x + 6) =4
\end{cases}\)

Answer 2

so you would get 2 values for "x", one for each scenario

Answer 3

-1 and -5 ?

Answer 4

yeap