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

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



1/2x+1/3x=1/6-2x
We move all terms to the left:
1/2x+1/3x-(1/6-2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 6-2x)!=0
We move all terms containing x to the left, all other terms to the right
-2x)!=-6
x!=-6/1
x!=-6
x∈R
We add all the numbers together, and all the variables
1/2x+1/3x-(-2x+1/6)=0
We get rid of parentheses
1/2x+1/3x+2x-1/6=0
We calculate fractions
(-18x^2)/216x^2+2x+108x/216x^2+72x/216x^2=0
We multiply all the terms by the denominator
(-18x^2)+2x*216x^2+108x+72x=0
We add all the numbers together, and all the variables
(-18x^2)+180x+2x*216x^2=0
Wy multiply elements
(-18x^2)+432x^3+180x=0
We get rid of parentheses
-18x^2+432x^3+180x=0
We do not support expression: x^3

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