ethanrey02
ethanrey02 ethanrey02
  • 25-09-2020
  • Mathematics
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3x^2 + 7x = 6 NEED HELP SOLVING QUADRATIC EQUATION

Respuesta :

Hi1315
Hi1315 Hi1315
  • 25-09-2020

Answer:

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

Step-by-step explanation:

[tex]3 {x}^{2} + 7x = 6 \\ 3 {x}^{2} + 7x - 6 = 0 \\ 3 {x}^{2} + 9x - 2x - 6 = 0 \\ 3x(x + 3) - 2(x + 3) = 0 \\ (3x - 2)(x + 3) = 0 \\ \\ 3x - 2 = 0 \\ 3x = 2 \\ x = \frac{2}{3} \\ \\ x + 3 = 0 \\ x = - 3[/tex]

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