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can someone help me out factor out this

0=16t^2-122t+180

i have so far this but the last one i am not sure

8(2t^2-14t + ?)

you need to use the quadratic formula: -b(+or-)[sqrt(b^2-4ac)/2a]

so you are saying that i don't have to factor it out any further i can just continue to do the quadratic formula

yes.

Unless the coefficient of the square term divides into the coefficient of the middle term leaving an even answer, the method of completing the square to solve a quadratic is a poor choice.
Use the quadratic formula.

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