58066
58066 58066
  • 19-08-2020
  • Mathematics
contestada

What are the solutions to this equation 2(6X² + 5x) =12

Respuesta :

jimrgrant1 jimrgrant1
  • 19-08-2020

Answer:

x = - [tex]\frac{3}{2}[/tex], x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

2(6x² + 5x) = 12 ( divide both sides by 2 )

6x² + 5x = 6 ( subtract 6 from both sides )

6x² + 5x - 6 = 0 ← in standard form

(2x + 3)(3x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

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