Solve this please! Will medal for giving an answer!!! 0=-2x^2+11x+40

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Solve this please! Will medal for giving an answer!!! 0=-2x^2+11x+40

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hint : (16)(-5) = -80 16 + -5 = 11
As a start, split the middle term as `16x - 5x`
0 = -2x^2 + `11x` + 40 = -2x^2 + `16x-5x` + 40

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Other answers:

wow i would have never thought of that!
knw how to finish it off ?
how did you figure that out?
yeah i can finish it off but i'm intrigued on how you found those numbers
basically we need to find two integers such that they multiply to `(40)*(-2)` and add up to the coefficient of middle term `11`
so you look at the factors of 40*2 : 40*2 = 10*4*2 = 5*2^4 = 5*16 and you see that 16 and -5 are the magic numbers
Wow thanks so much!
quadratic formula is always there if you don't like to do all that
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yeah of course I know that, haha
but It seemed like there was a shorter way so I asked
But really appreciate your work.
im not sure if we can say that factor by grouping is any shorter than using the quadratic formula directly... factor by grouping doesn't work always, it works only when the roots are rational
usually i try factor by grouping first, if it doesn't work then i use quadratic formula..

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