x=4x+25/x-10

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Solution for x=4x+25/x-10 equation: 



x=4x+25/x-10

We move all terms to the left:

x-(4x+25/x-10)=0



Domain of the equation: x-10)!=0

x∈R



We get rid of parentheses

x-4x-25/x+10=0

We multiply all the terms by the denominator


x*x-4x*x+10*x-25=0

We add all the numbers together, and all the variables

10x+x*x-4x*x-25=0

Wy multiply elements

x^2-4x^2+10x-25=0

We add all the numbers together, and all the variables

-3x^2+10x-25=0

a = -3; b = 10; c = -25;
Δ = b2-4ac
Δ = 102-4·(-3)·(-25)
Δ = -200
Delta is less than zero, so there is no solution for the equation

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