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(-5/3(x-3))+(4/x-3)=5/6
We move all terms to the left:
(-5/3(x-3))+(4/x-3)-(5/6)=0
Domain of the equation: 3(x-3))!=0
x∈R
Domain of the equation: x-3)!=0We add all the numbers together, and all the variables
x∈R
(-5/3(x-3))+(4/x-3)-(+5/6)=0
We get rid of parentheses
(-5/3(x-3))+4/x-3-5/6=0
We calculate fractions
(-15x^2x/(3(x-3))*x*6)+((-5*x*6)/(3(x-3))*x*6)+(72xx/(3(x-3))*x*6)-3=0
We calculate terms in parentheses: +(-15x^2x/(3(x-3))*x*6), so:
-15x^2x/(3(x-3))*x*6
We multiply all the terms by the denominator
-15x^2x
Back to the equation:
+(-15x^2x)
We calculate terms in parentheses: +((-5*x*6)/(3(x-3))*x*6), so:
(-5*x*6)/(3(x-3))*x*6
We multiply all the terms by the denominator
(-5*x*6)
We get rid of parentheses
-5*x*6
Wy multiply elements
-30x*6
Wy multiply elements
-180x
Back to the equation:
+(-180x)
We calculate terms in parentheses: +(72xx/(3(x-3))*x*6), so:We get rid of parentheses
72xx/(3(x-3))*x*6
We multiply all the terms by the denominator
72xx
Back to the equation:
+(72xx)
-15x^2x-180x+72xx-3=0
We move all terms containing x to the left, all other terms to the right
-15x^2x-180x+72xx=3
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