x/(5x+7)+x^2-x=1

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Solution for x/(5x+7)+x^2-x=1 equation:



x/(5x+7)+x^2-x=1
We move all terms to the left:
x/(5x+7)+x^2-x-(1)=0
Domain of the equation: (5x+7)!=0
We move all terms containing x to the left, all other terms to the right
5x!=-7
x!=-7/5
x!=-1+2/5
x∈R
We add all the numbers together, and all the variables
x^2-1x+x/(5x+7)-1=0
We multiply all the terms by the denominator
x^2*(5x+7)-1x*(5x+7)+x-1*(5x+7)=0
We add all the numbers together, and all the variables
x^2*(5x+7)+x-1x*(5x+7)-1*(5x+7)=0
We multiply parentheses
x^2*(5x+7)-5x^2+x-7x-1*(5x+7)=0
We add all the numbers together, and all the variables
-5x^2+x^2*(5x+7)-6x-1*(5x+7)=0

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