Break down the problem into these 2 equations.
\[12|x|=1\]
\[12|x|=2\]
Solve the 1st equation: \(12|x|=1\).
Divide both sides by \(12\).
\[|x|=\frac{1}{12}\]
Break down the problem into these 2 equations.
\[x=\frac{1}{12}\]
\[-x=\frac{1}{12}\]
Solve the 1st equation: \(x=\frac{1}{12}\).
Already solved. No work needed.
\[x=\frac{1}{12}\]
\[x=\frac{1}{12}\]
Solve the 2nd equation: \(-x=\frac{1}{12}\).
Multiply both sides by \(-1\).
\[x=-\frac{1}{12}\]
\[x=-\frac{1}{12}\]
Collect all solutions.
\[x=\pm \frac{1}{12}\]
\[x=\pm \frac{1}{12}\]
Solve the 2nd equation: \(12|x|=2\).
Divide both sides by \(12\).
\[|x|=\frac{2}{12}\]
Simplify \(\frac{2}{12}\) to \(\frac{1}{6}\).
\[|x|=\frac{1}{6}\]
Break down the problem into these 2 equations.
\[x=\frac{1}{6}\]
\[-x=\frac{1}{6}\]
Solve the 1st equation: \(x=\frac{1}{6}\).
Already solved. No work needed.
\[x=\frac{1}{6}\]
\[x=\frac{1}{6}\]
Solve the 2nd equation: \(-x=\frac{1}{6}\).
Multiply both sides by \(-1\).
\[x=-\frac{1}{6}\]
\[x=-\frac{1}{6}\]
Collect all solutions.
\[x=\pm \frac{1}{6}\]
\[x=\pm \frac{1}{6}\]
Collect all solutions.
\[x=\pm \frac{1}{12},\pm \frac{1}{6}\]
Decimal Form: ±0.083333, ±0.166667
x=-1/12,1/12,-1/6,1/6
