2/3=(30-x)x

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Solution for 2/3=(30-x)x equation:


x in (-oo:+oo)

2/3 = x*(30-x) // - x*(30-x)

2/3-(x*(30-x)) = 0

2/3-1*x*(30-x) = 0

(-1*3*x*(30-x))/3+2/3 = 0

2-1*3*x*(30-x) = 0

3*x^2-90*x+2 = 0

3*x^2-90*x+2 = 0

3*x^2-90*x+2 = 0

DELTA = (-90)^2-(2*3*4)

DELTA = 8076

DELTA > 0

x = (8076^(1/2)+90)/(2*3) or x = (90-8076^(1/2))/(2*3)

x = (2*2019^(1/2)+90)/6 or x = (90-2*2019^(1/2))/6

(x-((90-2*2019^(1/2))/6))*(x-((2*2019^(1/2)+90)/6)) = 0

((x-((90-2*2019^(1/2))/6))*(x-((2*2019^(1/2)+90)/6)))/3 = 0

((x-((90-2*2019^(1/2))/6))*(x-((2*2019^(1/2)+90)/6)))/3 = 0 // * 3

(x-((90-2*2019^(1/2))/6))*(x-((2*2019^(1/2)+90)/6)) = 0

( x-((2*2019^(1/2)+90)/6) )

x-((2*2019^(1/2)+90)/6) = 0 // + (2*2019^(1/2)+90)/6

x = (2*2019^(1/2)+90)/6

( x-((90-2*2019^(1/2))/6) )

x-((90-2*2019^(1/2))/6) = 0 // + (90-2*2019^(1/2))/6

x = (90-2*2019^(1/2))/6

x in { (2*2019^(1/2)+90)/6, (90-2*2019^(1/2))/6 }

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