5=-5t^2-3t+2

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Solution for 5=-5t^2-3t+2 equation: 



5=-5t^2-3t+2

We move all terms to the left:

5-(-5t^2-3t+2)=0

We get rid of parentheses

5t^2+3t-2+5=0

We add all the numbers together, and all the variables

5t^2+3t+3=0

a = 5; b = 3; c = +3;
Δ = b2-4ac
Δ = 32-4·5·3
Δ = -51
Delta is less than zero, so there is no solution for the equation

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