Respuesta :

wegnerkolmp2741o

Answer:

x=-2   x=-1

Step-by-step explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0  x+1 =0

x=-2   x=-1

Answer:

x = -1, -2

Step-by-step explanation:

Bring the constant term to the left hand side :

  • 2x² + 6x = -4
  • 2x² + 6x + 4 = 0

Divide throughout by 2 :

  • (2x² + 6x + 4)/2 = 0/2
  • x² + 3x + 2 = 0

Splitting the middle term :

  • x² + x + 2x + 2 = 0
  • x(x + 1) + 2(x + 1) = 0

Factors obtained :

  • (x + 1)
  • (x + 2)

Finding the zeros :

  1. x + 1 = 0 ⇒ x = -1
  2. x + 2 = 0 ⇒ x = -2

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