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3t^2+46=-8
We move all terms to the left:
3t^2+46-(-8)=0
We add all the numbers together, and all the variables
3t^2+54=0
a = 3; b = 0; c = +54;
Δ = b2-4ac
Δ = 02-4·3·54
Δ = -648
Delta is less than zero, so there is no solution for the equation
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