Question

factorize
2/3x^2-17/3x-28​

Answer 1

Answer:

5_2222222222222222222-28

Answer 2

$\frac{2}{3} x {}^{2} - \frac{17}{3} x - 28 = 0 \\ 2x {}^{2} - 17x - 84 = 0 \\ 2x {}^{2} - 24x + 7x - 84 = 0 \\ 2x(x - 12) + 7(x - 12) = 0 \\ (x - 12)(2x + 7) = 0$

Since product of two numbers is zero

Hence,

$x - 12 = 0 \\ x = 12$

or

$2x + 7 = 0 \\ 2x = - 7 \\ x = - \frac{7}{2}$