0.680=(0.5-x)(1-x)/x

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Solution for 0.680=(0.5-x)(1-x)/x equation:



0.680=(0.5-x)(1-x)/x
We move all terms to the left:
0.680-((0.5-x)(1-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)+0.680=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 get rid of parentheses
x^2-1x-0.5x+0.68x+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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