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40=12t+-5t^2
We move all terms to the left:
40-(12t+-5t^2)=0
We use the square of the difference formula
-(12t-5t^2)+40=0
We get rid of parentheses
5t^2-12t+40=0
a = 5; b = -12; c = +40;
Δ = b2-4ac
Δ = -122-4·5·40
Δ = -656
Delta is less than zero, so there is no solution for the equation
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