Posted by **Ann** on Wednesday, February 13, 2013 at 11:02pm.

How do I solve this equation? Please explain and do step by step.

6m squared -5m-14=0

- Algebra -
**Steve**, Thursday, February 14, 2013 at 11:05am
6m^2 - 5m - 14 = 0

it's mainly trial and error. Since 5 is a relatively small number, don't expect to see factors like (6m+1)(m-14)

I'd try (3m-?)(2m+?)

(3m-)(2m+) Hmm. nope

(6m-7)(m+2) = 6m^2 + 5m - 14

close, but we need -5m. So,

(6m+7)(m-2)

- Algebra -
**JJ**, Thursday, February 14, 2013 at 5:35pm
Then you have to set each factor equal to zero and solve for m.

I actually have another way to factor instead of trial and erro.

you multiply the 6 times -14 to get -84

Then you think of a two numbers that multiply to =-84 and add up to be -5

They are -12 plus 7

rewrite as 6m^2 -12m + 7m -14

group (6m^2 -12m) + (7m -14)

take out common factors

6m(m -2) + 7 (m-2)

factor out the m-2

and you have (6m+7)(m-2)

It is a newer methos and eliminates the guessing. It works every time.

- Algebra -
**courtney**, Saturday, April 13, 2013 at 6:43pm
how do I solve (16)^3 +48(16)^2

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