5600/(x+20)=2x-20

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Solution for 5600/(x+20)=2x-20 equation:


D( x )

x+20 = 0

x+20 = 0

x+20 = 0

x+20 = 0 // - 20

x = -20

x in (-oo:-20) U (-20:+oo)

5600/(x+20) = 2*x-20 // - 2*x-20

5600/(x+20)-(2*x)+20 = 0

5600/(x+20)-2*x+20 = 0

5600/(x+20)+(-2*x*(x+20))/(x+20)+(20*(x+20))/(x+20) = 0

20*(x+20)-2*x*(x+20)+5600 = 0

20*x-2*x^2-40*x+400+5600 = 0

6000-2*x^2-20*x = 0

6000-2*x^2-20*x = 0

2*(3000-x^2-10*x) = 0

3000-x^2-10*x = 0

DELTA = (-10)^2-(-1*4*3000)

DELTA = 12100

DELTA > 0

x = (12100^(1/2)+10)/(-1*2) or x = (10-12100^(1/2))/(-1*2)

x = -60 or x = 50

2*(x+60)*(x-50) = 0

(2*(x+60)*(x-50))/(x+20) = 0

(2*(x+60)*(x-50))/(x+20) = 0 // * x+20

2*(x+60)*(x-50) = 0

( x+60 )

x+60 = 0 // - 60

x = -60

( x-50 )

x-50 = 0 // + 50

x = 50

x in { -60, 50 }

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