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a) substitue t=0 into the equation.
b) dH/dt = 0

Are you in Algebra or Calculus?

im in algebra

c) let H =0, the solve the quadratic equation

factor

16t^2 - 96t - 120 = 0 OK?

ok

8(2t^2 - 12t - 15) factor out the GCF which is 8

x = -b +- sqrt(b^2 - 4ac)
------------------
2a

x = 96 +- sqrt((-96)^2 - 4(16)(-12))
-----------------------------
2(16)

x = 96 +- sqrt(9216 + 768)
----------------------
32

x = 96 +- sqrt(9984)
---------------
32

thank you very much