Question

Solve quadratic equations by factorizing
$6n {}^{2} - 5n - 21 = 0$

Answer 1

6n^2-5n-21=0
6n^2-14n+9n-21=0
2n(3n-7)+3(3n-7)=0
(2n+3)(3n-7)=0
so, n=-3/2 and n=7/3

Answer 2

HERE IS THE SOLUTION FOR YOUR QUESTION;

$6n {}^{2} - 5n - 21 = 0$
Simplifying 6n2 + -5n + -21 = 0

Reorder the terms: -21 + -5n + 6n2 = 0

Solving -21 + -5n + 6n2 = 0

Solving for variable 'n'.

Factor a trinomial. (-3 + -2n)(7 + -3n) = 0

=>n=-3/2 & 7/3.


HOPE it helps