(5x+80)/3x=3

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Solution for (5x+80)/3x=3 equation:


x in (-oo:+oo)

x*((5*x+80)/3) = 3 // - 3

x*((5*x+80)/3)-3 = 0

(x*(5*x+80))/3-3 = 0

(x*(5*x+80))/3+(-3*3)/3 = 0

x*(5*x+80)-3*3 = 0

5*x^2+80*x-9 = 0

5*x^2+80*x-9 = 0

5*x^2+80*x-9 = 0

DELTA = 80^2-(-9*4*5)

DELTA = 6580

DELTA > 0

x = (6580^(1/2)-80)/(2*5) or x = (-6580^(1/2)-80)/(2*5)

x = (2*1645^(1/2)-80)/10 or x = (-2*1645^(1/2)-80)/10

(x-((-2*1645^(1/2)-80)/10))*(x-((2*1645^(1/2)-80)/10)) = 0

((x-((-2*1645^(1/2)-80)/10))*(x-((2*1645^(1/2)-80)/10)))/3 = 0

((x-((-2*1645^(1/2)-80)/10))*(x-((2*1645^(1/2)-80)/10)))/3 = 0 // * 3

(x-((-2*1645^(1/2)-80)/10))*(x-((2*1645^(1/2)-80)/10)) = 0

( x-((-2*1645^(1/2)-80)/10) )

x-((-2*1645^(1/2)-80)/10) = 0 // + (-2*1645^(1/2)-80)/10

x = (-2*1645^(1/2)-80)/10

( x-((2*1645^(1/2)-80)/10) )

x-((2*1645^(1/2)-80)/10) = 0 // + (2*1645^(1/2)-80)/10

x = (2*1645^(1/2)-80)/10

x in { (-2*1645^(1/2)-80)/10, (2*1645^(1/2)-80)/10 }

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