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4x(x+1)/6=3x-4
We move all terms to the left:
4x(x+1)/6-(3x-4)=0
We get rid of parentheses
4x(x+1)/6-3x+4=0
We multiply all the terms by the denominator
4x(x+1)-3x*6+4*6=0
We add all the numbers together, and all the variables
4x(x+1)-3x*6+24=0
We multiply parentheses
4x^2+4x-3x*6+24=0
Wy multiply elements
4x^2+4x-18x+24=0
We add all the numbers together, and all the variables
4x^2-14x+24=0
a = 4; b = -14; c = +24;
Δ = b2-4ac
Δ = -142-4·4·24
Δ = -188
Delta is less than zero, so there is no solution for the equation
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