Find all solutions to the given equation: (x − 5)(x +2)(x +3) =0

Question

asked Feb 18, 2020 144k views

1 Answer

Wienczny · Answer 1 · 2020-02-23T05:45:40+0000

Answer:

The solutions are:

$x=5,\:x=-2,\:x=-3$

Explanation:

To find the solutions of the equation
(x-5)(x+2)(x +3) =0 you can use the Zero Factor Theorem:

The product of two or more factors is zero if and only if at least one of the factors is zero, = 0 if and only if = 0 or = 0

That means

$x-5=0\\x=5$

$x+2=0\\x=-2$

$x+3=0\\x=-3$

The solutions are:

$x=5,\:x=-2,\:x=-3$