The factored expression is given by:
[tex]-12(x-\dfrac{1}{2})[/tex]
We are given a linear expression in terms of the variable x by:
[tex]-12x+6[/tex]
Now, we factor out -12 from the given expression:
[tex]=-12(x+\dfrac{6}{-12})\\\\=-12(x-\dfrac{1}{2})[/tex]
Hence, the expression on factoring is given by:
[tex]-12(x-\dfrac{1}{2})[/tex]
