5/3x+2=6-4x

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Solution for 5/3x+2=6-4x equation:



5/3x+2=6-4x
We move all terms to the left:
5/3x+2-(6-4x)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We add all the numbers together, and all the variables
5/3x-(-4x+6)+2=0
We get rid of parentheses
5/3x+4x-6+2=0
We multiply all the terms by the denominator
4x*3x-6*3x+2*3x+5=0
Wy multiply elements
12x^2-18x+6x+5=0
We add all the numbers together, and all the variables
12x^2-12x+5=0
a = 12; b = -12; c = +5;
Δ = b2-4ac
Δ = -122-4·12·5
Δ = -96
Delta is less than zero, so there is no solution for the equation

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