Question

solve for x: -3|x-3| = -6

Answer 1

x = 1, x = -1
x = 1, x = 5
x = 0, x = 5
no solutions

Answer 2

@dan815

Answer 3

@iPwnBunnies

Answer 4

@IMStuck

Answer 5

\(\bf -3|x-3| = -6\implies |x-3| =\cancel{ \cfrac{-6}{-3} }\implies |x-3| =2
\\ \quad \\
|x-3| =2\to
\begin{cases}
+(x-3)=2
\\ \quad \\
\bf -(x-3)=2
\end{cases}\)

Answer 6

absolute value means, two scenarios, thus two values for "x", solve each to get the two "x values"