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0\times 4t^{2}+24t-17=0
Multiply 0 and 0 to get 0.
0t^{2}+24t-17=0
Multiply 0 and 4 to get 0.
0+24t-17=0
Anything times zero gives zero.
-17+24t=0
Subtract 17 from 0 to get -17.
24t=17
Add 17 to both sides. Anything plus zero gives itself.
t=\frac{17}{24}
Divide both sides by 24.