Question

$6x {}^{2} + 35x + 6 = 0$
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Answer 1

Answer:

6x² + 35x + 6 = 0

=) 6 (x² + 5x + 1) = 0 (Factor out 6 from the above expression)

hope it's gonna help you...☺

Answer 2

$\red {\huge {\underline{ \bold{Your \: answEr : }}}}$

$\implies \bold{6{x}^{2} + 35x - 6 = 0 }$

$\boxed{\blacksquare \: \frak {by \: middle \: term \: splitting}}$

$\implies \bold{6{x}^{2} - 36x + x - 6 = 0}$

$\implies \bold{6x(x - 6) + 1(x - 6) = 0}$

$\implies \bold{(6x + 1) = 0 \: or \: (x - 6) = 0}$

$\large \orange{\implies \boxed{\bold{x = \frac{-1}{6} \: or \: x = 6 }}}$

$\huge{\red{\ddot{\smile}}}$