7.07=(0.5+2x)/(0.25-x)

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Solution for 7.07=(0.5+2x)/(0.25-x) equation: 


D( x )

0.25-x = 0

0.25-x = 0

0.25-x = 0

0.25-x = 0 // - 0.25

-x = -0.25 // * -1

x = 0.25

x in (-oo:0.25) U (0.25:+oo)

7.07 = (2*x+0.5)/(0.25-x) // - (2*x+0.5)/(0.25-x)

7.07-((2*x+0.5)/(0.25-x)) = 0

(-1*(2*x+0.5))/(0.25-x)+7.07 = 0

(-1*(2*x+0.5))/(0.25-x)+(7.07*(0.25-x))/(0.25-x) = 0

7.07*(0.25-x)-1*(2*x+0.5) = 0

1.2675-9.07*x = 0

(1.2675-9.07*x)/(0.25-x) = 0

(1.2675-9.07*x)/(0.25-x) = 0 // * 0.25-x

1.2675-9.07*x = 0

1.2675-9.07*x = 0 // - 1.2675

-9.07*x = -1.2675 // : -9.07

x = -1.2675/(-9.07)

x = 0.13974642

x = 0.13974642

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