3/6x+5=1/2x+2

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Solution for 3/6x+5=1/2x+2 equation:



3/6x+5=1/2x+2
We move all terms to the left:
3/6x+5-(1/2x+2)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 2x+2)!=0
x∈R
We get rid of parentheses
3/6x-1/2x-2+5=0
We calculate fractions
6x/12x^2+(-6x)/12x^2-2+5=0
We add all the numbers together, and all the variables
6x/12x^2+(-6x)/12x^2+3=0
We multiply all the terms by the denominator
6x+(-6x)+3*12x^2=0
Wy multiply elements
36x^2+6x+(-6x)=0
We get rid of parentheses
36x^2+6x-6x=0
We add all the numbers together, and all the variables
36x^2=0
a = 36; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·36·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{72}=0$

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