(4x^2)/(0.4-x)=2

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Solution for (4x^2)/(0.4-x)=2 equation: 


D( x )

0.4-x = 0

0.4-x = 0

0.4-x = 0

0.4-x = 0 // - 0.4

-x = -0.4 // * -1

x = 0.4

x in (-oo:0.4) U (0.4:+oo)

(4*x^2)/(0.4-x) = 2 // - 2

(4*x^2)/(0.4-x)-2 = 0

(4*x^2)/(0.4-x)+(-2*(0.4-x))/(0.4-x) = 0

4*x^2-2*(0.4-x) = 0

4*x^2+2*x-0.8 = 0

4*x^2+2*x-0.8 = 0

4*x^2+2*x-0.8 = 0

DELTA = 2^2-(-0.8*4*4)

DELTA = 16.8

DELTA > 0

x = (16.8^(1/2)-2)/(2*4) or x = (-16.8^(1/2)-2)/(2*4)

x = (16.8^(1/2)-2)/8 or x = (-(16.8^(1/2)+2))/8

(x+(16.8^(1/2)+2)/8)*(x-((16.8^(1/2)-2)/8)) = 0

((x+(16.8^(1/2)+2)/8)*(x-((16.8^(1/2)-2)/8)))/(0.4-x) = 0

((x+(16.8^(1/2)+2)/8)*(x-((16.8^(1/2)-2)/8)))/(0.4-x) = 0 // * 0.4-x

(x+(16.8^(1/2)+2)/8)*(x-((16.8^(1/2)-2)/8)) = 0

( x+(16.8^(1/2)+2)/8 )

x+(16.8^(1/2)+2)/8 = 0 // - (16.8^(1/2)+2)/8

x = -((16.8^(1/2)+2)/8)

( x-((16.8^(1/2)-2)/8) )

x-((16.8^(1/2)-2)/8) = 0 // + (16.8^(1/2)-2)/8

x = (16.8^(1/2)-2)/8

x in { -((16.8^(1/2)+2)/8), (16.8^(1/2)-2)/8 }

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