Answer:
The solutions are:
[tex]x=5,\:x=-2,\:x=-3[/tex]
Step-by-step explanation:
To find the solutions of the equation [tex](x-5)(x+2)(x +3) =0[/tex] 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
[tex]x-5=0\\x=5[/tex]
[tex]x+2=0\\x=-2[/tex]
[tex]x+3=0\\x=-3[/tex]
The solutions are:
[tex]x=5,\:x=-2,\:x=-3[/tex]
