(80-x)/3x=5

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


x in (-oo:+oo)

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

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

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

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

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

80*x-x^2-15 = 0

80*x-x^2-15 = 0

80*x-x^2-15 = 0

DELTA = 80^2-(-15*(-1)*4)

DELTA = 6340

DELTA > 0

x = (6340^(1/2)-80)/(-1*2) or x = (-6340^(1/2)-80)/(-1*2)

x = (2*1585^(1/2)-80)/(-2) or x = (-2*1585^(1/2)-80)/(-2)

(x-((2*1585^(1/2)-80)/(-2)))*(x-((-2*1585^(1/2)-80)/(-2))) = 0

((x-((2*1585^(1/2)-80)/(-2)))*(x-((-2*1585^(1/2)-80)/(-2))))/3 = 0

((x-((2*1585^(1/2)-80)/(-2)))*(x-((-2*1585^(1/2)-80)/(-2))))/3 = 0 // * 3

(x-((2*1585^(1/2)-80)/(-2)))*(x-((-2*1585^(1/2)-80)/(-2))) = 0

( x-((-2*1585^(1/2)-80)/(-2)) )

x-((-2*1585^(1/2)-80)/(-2)) = 0 // + (-2*1585^(1/2)-80)/(-2)

x = (-2*1585^(1/2)-80)/(-2)

( x-((2*1585^(1/2)-80)/(-2)) )

x-((2*1585^(1/2)-80)/(-2)) = 0 // + (2*1585^(1/2)-80)/(-2)

x = (2*1585^(1/2)-80)/(-2)

x in { (-2*1585^(1/2)-80)/(-2), (2*1585^(1/2)-80)/(-2) }

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