2x/5x-3=4/3x-1

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Solution for 2x/5x-3=4/3x-1 equation: 


x in (-oo:+oo)

((2*x)/5)*x-3 = (4/3)*x-1 // - (4/3)*x-1

((2*x)/5)*x-((4/3)*x)-3+1 = 0

((2*x)/5)*x+(-4/3)*x-3+1 = 0

2/5*x^2-4/3*x-2 = 0

DELTA = (-4/3)^2-(-2*2/5*4)

DELTA = 224/45

DELTA > 0

x = ((224/45)^(1/2)+4/3)/(2/5*2) or x = (4/3-(224/45)^(1/2))/(2/5*2)

x = 5/4*((224/45)^(1/2)+4/3) or x = 5/4*(4/3-(224/45)^(1/2))

x in { 5/4*(4/3-(224/45)^(1/2)), 5/4*((224/45)^(1/2)+4/3) }

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