Question

Solve : (2x-1)(x+5)=0

Answer 1

The product is equal to 0 if one of the factors is equal to 0.

`(2x-1)(x+5)=0\iff2x-1=0\ \vee\ x+5=0\\\\2x-1=0\ \ \ |+1\\2x=1\ \ \ |:2\\\boxed{x=0.5}\\\\x+5=0\ \ \ \ |-5\\\boxed{x=-5}`

Answer: x = 0.5 or x = -5