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(4x+4)-(7x-8)/4x-5=4/3
We move all terms to the left:
(4x+4)-(7x-8)/4x-5-(4/3)=0
Domain of the equation: 4x!=0We add all the numbers together, and all the variables
x!=0/4
x!=0
x∈R
(4x+4)-(7x-8)/4x-5-(+4/3)=0
We get rid of parentheses
4x-(7x-8)/4x+4-5-4/3=0
We calculate fractions
4x+(-21x+24)/12x+(-16x)/12x+4-5=0
We add all the numbers together, and all the variables
4x+(-21x+24)/12x+(-16x)/12x-1=0
We multiply all the terms by the denominator
4x*12x+(-21x+24)+(-16x)-1*12x=0
Wy multiply elements
48x^2+(-21x+24)+(-16x)-12x=0
We get rid of parentheses
48x^2-21x-16x-12x+24=0
We add all the numbers together, and all the variables
48x^2-49x+24=0
a = 48; b = -49; c = +24;
Δ = b2-4ac
Δ = -492-4·48·24
Δ = -2207
Delta is less than zero, so there is no solution for the equation
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