40=100x/(10+x)

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Solution for 40=100x/(10+x) equation:



40=100x/(10+x)
We move all terms to the left:
40-(100x/(10+x))=0
Domain of the equation: (10+x))!=0
We move all terms containing x to the left, all other terms to the right
x)!=-10
x!=-10/1
x!=-10
x∈R
We add all the numbers together, and all the variables
-(100x/(x+10))+40=0
We multiply all the terms by the denominator
-(100x+40*(x+10))=0
We calculate terms in parentheses: -(100x+40*(x+10)), so:
100x+40*(x+10)
We multiply parentheses
100x+40x+400
We add all the numbers together, and all the variables
140x+400
Back to the equation:
-(140x+400)
We get rid of parentheses
-140x-400=0
We move all terms containing x to the left, all other terms to the right
-140x=400
x=400/-140
x=-2+6/7

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