laddybug4715 laddybug4715
  • 21-10-2019
  • Mathematics
contestada

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

Respuesta :

franciscocruz28 franciscocruz28
  • 23-10-2019

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]

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