.680=((.500-x)(1.00-x))/x

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Solution for .680=((.500-x)(1.00-x))/x equation: 



.680=((.500-x)(1.00-x))/x

We move all terms to the left:

.680-(((.500-x)(1.00-x))/x)=0



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

-(((-1x+0.5)(-1x+1))/x)+.680=0

We add all the numbers together, and all the variables

-(((-1x+0.5)(-1x+1))/x)+0.68=0

We multiply parentheses ..

-(((+x^2-1x-0.5x+0.5))/x)+0.68=0

We multiply all the terms by the denominator


-(((+x^2-1x-0.5x+0.5))+(0.68)*x)=0



We calculate terms in parentheses: -(((+x^2-1x-0.5x+0.5))+(0.68)*x), so:

((+x^2-1x-0.5x+0.5))+(0.68)*x

We multiply parentheses

((+x^2-1x-0.5x+0.5))+0.68x



We calculate terms in parentheses: +((+x^2-1x-0.5x+0.5)), so:

(+x^2-1x-0.5x+0.5)

We get rid of parentheses

x^2-1x-0.5x+0.5

We add all the numbers together, and all the variables

x^2-1.5x+0.5

Back to the equation:

+(x^2-1.5x+0.5)



We add all the numbers together, and all the variables

0.68x+(x^2-1.5x+0.5)

We get rid of parentheses

x^2+0.68x-1.5x+0.5

We add all the numbers together, and all the variables

x^2-0.82x+0.5

Back to the equation:

-(x^2-0.82x+0.5)



We get rid of parentheses

-x^2+0.82x-0.5=0

We add all the numbers together, and all the variables

-1x^2+0.82x-0.5=0

a = -1; b = 0.82; c = -0.5;
Δ = b2-4ac
Δ = 0.822-4·(-1)·(-0.5)
Δ = -1.3276
Delta is less than zero, so there is no solution for the equation

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