Help me with polynomials

[magic patrol]

I am so confused. I understand how to do the testing method but I've tested all possible roots for the equation 0=(x)(x-5)(2x+1) -550 but it's not working. What's the actual way to solve it?

[neon ice]

You need multiple variables

v= length times width times height

[warped wedge]

i think there should be a root that works

but correct me if wrong

[magic patrol]

ive tested them all i dont think its a whole number

so idk how i would solve that

[crude summit]

have you tried adding 550 to the other side, aand expanding the parantheses?

then try factoring

or

i dont think factoring would work

so yoou might have to use the rational roots theorem

[magic patrol]

whats that?

like the testing the roots thing?

I've done that

[crude summit]

oh i see

[gloomy wharf]

That has a really ugly solution.

[white zenith]

its one of the roots, but not a whole number

[magic patrol]

is there a way to get to that solution manually not with technology?

[gloomy wharf]

You can use the cubic formula.