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6-2t=3/2t+9
We move all terms to the left:
6-2t-(3/2t+9)=0
Domain of the equation: 2t+9)!=0We get rid of parentheses
t∈R
-2t-3/2t-9+6=0
We multiply all the terms by the denominator
-2t*2t-9*2t+6*2t-3=0
Wy multiply elements
-4t^2-18t+12t-3=0
We add all the numbers together, and all the variables
-4t^2-6t-3=0
a = -4; b = -6; c = -3;
Δ = b2-4ac
Δ = -62-4·(-4)·(-3)
Δ = -12
Delta is less than zero, so there is no solution for the equation
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