(1)/(q+4)-(7)/(q-2)=1

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Solution for (1)/(q+4)-(7)/(q-2)=1 equation:



(1)/(q+4)-(7)/(q-2)=1
We move all terms to the left:
(1)/(q+4)-(7)/(q-2)-(1)=0
Domain of the equation: (q+4)!=0
We move all terms containing q to the left, all other terms to the right
q!=-4
q∈R
Domain of the equation: (q-2)!=0
We move all terms containing q to the left, all other terms to the right
q!=2
q∈R
We calculate fractions
(1*(q-2))/((q+4)*(q-2))+(-7q-28)/((q+4)*(q-2))-1=0
We calculate terms in parentheses: +(1*(q-2))/((q+4)*(q-2)), so:
1*(q-2))/((q+4)*(q-2)
We multiply all the terms by the denominator
1*(q-2))
Back to the equation:
+(1*(q-2)))
We calculate terms in parentheses: +(-7q-28)/((q+4)*(q-2)), so:
-7q-28)/((q+4)*(q-2)
We multiply all the terms by the denominator
-7q*((q+4)*(q-2)-28)
Back to the equation:
+(-7q*((q+4)*(q-2)-28))

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