Question

Como resolver la ecuación: (3x - 2)(3x + 4) - (3x - 2)^2 = 6

Answer 1

(3x- 2) (3x + 4) - (3x - 2)² = 6

(3x . 3x + 3x . 4 - 2 . 3x - 2 . 4) - ((3x)² + 2 .3x (-2) + (-2)²) = 6

(9x² + 12x - 6x - 8) - (9x² - 2 . 2 . 3x + 4) = 6

(9x² + 12x - 6x - 8) (9x² - 12x + 4) = 6

(9x² + 6x - 8) (9x² - 12x + 4) = 6

9x² + 6x - 8 - 9x²  + 12x - 4 = 6

18x - 12 = 6

18x = 6 + 12

18x = 18

x = 18/18

x = 1

Respuesta : 

x = 1