((2x)^2)/(0.125-x)=0.075

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Solution for ((2x)^2)/(0.125-x)=0.075 equation: 


D( x )

0.125-x = 0

0.125-x = 0

0.125-x = 0

0.125-x = 0 // - 0.125

-x = -0.125 // * -1

x = 0.125

x in (-oo:0.125) U (0.125:+oo)

((2*x)^2)/(0.125-x) = 0.075 // - 0.075

((2*x)^2)/(0.125-x)-0.075 = 0

(4*x^2)/(0.125-x)-0.075 = 0

(4*x^2)/(0.125-x)+(-0.075*(0.125-x))/(0.125-x) = 0

4*x^2-0.075*(0.125-x) = 0

4*x^2+0.075*x-0.009375 = 0

4*x^2+0.075*x-0.009375 = 0

4*x^2+0.075*x-0.009375 = 0

DELTA = 0.075^2-(-0.009375*4*4)

DELTA = 0.075^2+0.15

DELTA = 0.155625

DELTA > 0

x = ((0.075^2+0.15)^(1/2)-0.075)/(2*4) or x = (-(0.075^2+0.15)^(1/2)-0.075)/(2*4)

x = ((0.075^2+0.15)^(1/2)-0.075)/8 or x = (-((0.075^2+0.15)^(1/2)+0.075))/8

(x+((0.075^2+0.15)^(1/2)+0.075)/8)*(x-(((0.075^2+0.15)^(1/2)-0.075)/8)) = 0

((x+((0.075^2+0.15)^(1/2)+0.075)/8)*(x-(((0.075^2+0.15)^(1/2)-0.075)/8)))/(0.125-x) = 0

((x+((0.075^2+0.15)^(1/2)+0.075)/8)*(x-(((0.075^2+0.15)^(1/2)-0.075)/8)))/(0.125-x) = 0 // * 0.125-x

(x+((0.075^2+0.15)^(1/2)+0.075)/8)*(x-(((0.075^2+0.15)^(1/2)-0.075)/8)) = 0

( x+((0.075^2+0.15)^(1/2)+0.075)/8 )

x+((0.075^2+0.15)^(1/2)+0.075)/8 = 0 // - ((0.075^2+0.15)^(1/2)+0.075)/8

x = -(((0.075^2+0.15)^(1/2)+0.075)/8)

( x-(((0.075^2+0.15)^(1/2)-0.075)/8) )

x-(((0.075^2+0.15)^(1/2)-0.075)/8) = 0 // + ((0.075^2+0.15)^(1/2)-0.075)/8

x = ((0.075^2+0.15)^(1/2)-0.075)/8

x in { -(((0.075^2+0.15)^(1/2)+0.075)/8), ((0.075^2+0.15)^(1/2)-0.075)/8 }

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