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-2/3x-8+2/3x=-5/4x+2
We move all terms to the left:
-2/3x-8+2/3x-(-5/4x+2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 4x+2)!=0We get rid of parentheses
x∈R
-2/3x+2/3x+5/4x-2-8=0
We calculate fractions
(8x-2)/12x^2+15x/12x^2-2-8=0
We add all the numbers together, and all the variables
(8x-2)/12x^2+15x/12x^2-10=0
We multiply all the terms by the denominator
(8x-2)+15x-10*12x^2=0
We add all the numbers together, and all the variables
15x+(8x-2)-10*12x^2=0
Wy multiply elements
-120x^2+15x+(8x-2)=0
We get rid of parentheses
-120x^2+15x+8x-2=0
We add all the numbers together, and all the variables
-120x^2+23x-2=0
a = -120; b = 23; c = -2;
Δ = b2-4ac
Δ = 232-4·(-120)·(-2)
Δ = -431
Delta is less than zero, so there is no solution for the equation
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