Question

Solve for x: −5|x + 1| = 10

Answer 1

$|a|\geq0\ for\ a\in\mathbb{R}\\\\|a|=a\ for\ a\geq0\\\\|a|=-a\ for\ a<0\\-----------------------\\\\-5|x+1|=10\qquad\text{divide both sides by (-5)}\\\\|x+1|=-2<0\\\\Answer:\ \boxed{No\ solution}$