The given expression is:
[tex]0.3(-42)[/tex]Rewrite the decimal outside the parentheses as a fraction:
[tex]0.3(-42)=\frac{3}{10}(-42)=\frac{3}{10}\times-42[/tex]Multiply the numbers in the numerator and simplify:
[tex]\frac{3\times-42}{10}=\frac{-126}{10}[/tex]Since a division by 10 moves the decimal point to the right, it follows that:
[tex]-\frac{126}{10}=-12.6[/tex]Hence, the required answer is -12.6.