solve and check. 2x^2+3x=14

Question

wach · Answer

We can try factoring, here, by subtracting 14 and then finding factors, right?

anonymous · Answer

yes. so it would be 2x^2+3x-14=0

wach · Answer

Correct! Now, we need to find factors of this.

anonymous · Answer

i thought it would be something like 2(x^2+?-7) but i'm not sure if that is close

wach · Answer

2x^2+3x-14
so what are 2 numbers that multiply to get 14, but when one is multiplied by 2, and then added w/ the other, we get 3?

wach · Answer

You could do it that way, but you get a fraction in the ? spot which is hard to factor

anonymous · Answer

2x7=14 would 2 and 7 work

wach · Answer

Yes! :)

wach · Answer

but one would be neg since 14 is negative

wach · Answer

now if we have to multiply one by 2 because of 2x and add it with the other one, what would the factors be? I personally think that 7 - 4 would work, yeah?

wach · Answer

(2x + 7) (x - 2) would work here 
since 7 x -2 = -14 , right? 
and since 7 + 2(-2) = 7 - 4 = 3, right?

wach · Answer

Now, set (2x + 7)  = 0 
and (x - 2) = 0 ans solve for x. Those are your answers.

anonymous · Answer

so the answer would be -7/2, 2 ?

wach · Answer

Yup!