(1/4x)-(1/5)(x-5)=5x

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Solution for (1/4x)-(1/5)(x-5)=5x equation:



(1/4x)-(1/5)(x-5)=5x
We move all terms to the left:
(1/4x)-(1/5)(x-5)-(5x)=0
Domain of the equation: 4x)!=0
x!=0/1
x!=0
x∈R
Domain of the equation: 5)(x-5)!=0
x∈R
We add all the numbers together, and all the variables
(+1/4x)-(+1/5)(x-5)-5x=0
We add all the numbers together, and all the variables
-5x+(+1/4x)-(+1/5)(x-5)=0
We get rid of parentheses
-5x+1/4x-(+1/5)(x-5)=0
We multiply parentheses ..
-(+x^2+1/5*-5)-5x+1/4x=0
We calculate fractions
(-(+x^2+1*4x)/(-5)*4x+5*)-5x+()/(-5)*4x+5*)=0
We calculate terms in parentheses: +(-(+x^2+1*4x)/(-5)*4x+5*), so:
-(+x^2+1*4x)/(-5)*4x+5*
We add all the numbers together, and all the variables
-(+x^2+1*4x)/(-5)*4x
We multiply all the terms by the denominator
-(+x^2+1*4x)
We get rid of parentheses
-x^2-1*4x
We add all the numbers together, and all the variables
-1x^2-1*4x
Wy multiply elements
-1x^2-4x
Back to the equation:
+(-1x^2-4x)
We add all the numbers together, and all the variables
(-1x^2-4x)-5x+()/(-5)*4x=0
We get rid of parentheses
-1x^2-4x-5x+()/(-5)*4x=0
We multiply all the terms by the denominator
-1x^2*(-5)*4x-4x*(-5)*4x-5x*(-5)*4x+()=0
We add all the numbers together, and all the variables
-1x^2*(-5)*4x-4x*(-5)*4x-5x*(-5)*4x=0
We multiply parentheses
-1x^2*(-5)*4x+80x^2+100x^2=0
We add all the numbers together, and all the variables
180x^2-1x^2*(-5)*4x=0

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