Question

6x (3x-7)=7 (7-3x) factorization ​

Answer 1

${\bold {\huge {\pink {Answer :}}}}$

$6x(3x - 7) = 7(7 - 3x) \\ 18 {x}^{2} - 42x = 49 - 21x \\ 18 {x}^{2} - 42x + 21x - 49 = 0 \\ 18 {x}^{2} + 21 x - 49 = 0$

BY THE FORMULA OF d:

$d = {b}^{2} - 4ac \\ = { (- 42)}^{2} - 4 \times 18 \times ( - 49) \\ = 5292$

for x1:

$x_1 = \frac{b + \sqrt{d} }{2a} \\ x_1 = \frac{21 + \sqrt{5292} }{2 \times 18} \\ x_1 = \frac{21 + 72.2}{36} \\ \: x_1 = 3980.0$

for x2:

$x_2 = \frac{21 - \sqrt{d} }{2a} \\ x_2 = \frac{21 - 72.2}{2 \times 18} \\ x_2 = \frac{ - 51.2}{36} \: \\ x_2 = - 18.99$

$\therefore the \: only \: positive \: value \: will \: \\ be \: valid$

$so \: the \: answer \: will \: be = > \\ 3980.0$

Answer 2

Answer:

hola mate.

see the attachment

thanks❤️