in that equation I have to solve for x.

5. x^3 + 2x^2 - 9x = 18

in this word problem i have to solve my factoring.
8. Suppose the altitude of a rising hot-air balloon is given by h = 0.04 t2 + 2t, where “t” is the time in seconds after the balloon leaves the ground. How long will it take for the balloon to reach an altitude of 200 feet?

PLEAse please

5. looks like "grouping"

x^3 + 2x^2 - 9x = 18
x^3 + 2x^2 - 9x - 18 = 0
x^2(x+2) - 9(x+2) = 0
(x+2)(x^2-9) = 0
(x+2)(x+3)(x-3) = 0
x = -2, -3, 3

Thank you so much you are a god..

can you pleas ehelp me wit h the word problem?

for the second, set

.04t^ + 2t = 200 , multiply by 100
4t^2 + 200t - 20000=0 , divide by 4
t^2 + 50t - 5000 = 0
(t+100)(t-50) = 0

take it from there.

Thank you a million Reiny.

solve for h

200=0.04(t*t)+2*t
200/0.4=t*t +2*t
5000=t*t+2*t
2500=t*t
square root of 2500=t
check answer

5000=t*t+2*t

2500=t*t ARGGGHHHH!!!!!

remember, whatever you do to one side you must do to the other.
You didn't.