Question

$factories:\ \textless \ br /\ \textgreater \ 6x {}^{2} - 5x - 6\ \textless \ br /\ \textgreater$
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Answer 1

Answer:

x = $\frac{-2}{3}$ or x = $\frac{3}{2}$

Step-by-step explanation:

6x² - 5x - 6   ...   (i)

6 * 6 = 36

Factors of 36 are (1 , 36) , (2 , 18) , (3 , 12) , (4 , 9) , (6 , 6)

-9x + 4x = -5x

Equation (i) can be written as,

6x² - 9x + 4x - 6 = 0

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

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

Either 3x + 2 = 0 or 2x - 3 = 0

3x = -2 or 2x = 3

x = $\frac{-2}{3}$ or x = $\frac{3}{2}$