4x/5x=6x+4/8x-10

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Solution for 4x/5x=6x+4/8x-10 equation: 


x in (-oo:+oo)

((4*x)/5)*x = 6*x+(4/8)*x-10 // - 6*x+(4/8)*x-10

((4*x)/5)*x-(6*x)-((4/8)*x)+10 = 0

((4*x)/5)*x-6*x+(-1/2)*x+10 = 0

4/5*x^2-13/2*x+10 = 0

DELTA = (-13/2)^2-(4/5*4*10)

DELTA = 41/4

DELTA > 0

x = ((41/4)^(1/2)+13/2)/(4/5*2) or x = (13/2-(41/4)^(1/2))/(4/5*2)

x = 5/8*((41/4)^(1/2)+13/2) or x = 5/8*(13/2-(41/4)^(1/2))

x in { 5/8*(13/2-(41/4)^(1/2)), 5/8*((41/4)^(1/2)+13/2) }

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