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0=-16t^2+64t+2640
We move all terms to the left:
0-(-16t^2+64t+2640)=0
We add all the numbers together, and all the variables
-(-16t^2+64t+2640)=0
We get rid of parentheses
16t^2-64t-2640=0
a = 16; b = -64; c = -2640;
Δ = b2-4ac
Δ = -642-4·16·(-2640)
Δ = 173056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{173056}=416$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-416}{2*16}=\frac{-352}{32} =-11 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+416}{2*16}=\frac{480}{32} =15 $
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