(5x-3)/2x=4

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


x in (-oo:+oo)

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

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

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

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

x*(5*x-3)-4*2 = 0

5*x^2-3*x-8 = 0

5*x^2-3*x-8 = 0

5*x^2-3*x-8 = 0

DELTA = (-3)^2-(-8*4*5)

DELTA = 169

DELTA > 0

x = (169^(1/2)+3)/(2*5) or x = (3-169^(1/2))/(2*5)

x = 8/5 or x = -1

(x+1)*(x-8/5) = 0

((x+1)*(x-8/5))/2 = 0

((x+1)*(x-8/5))/2 = 0 // * 2

(x+1)*(x-8/5) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-8/5 )

x-8/5 = 0 // + 8/5

x = 8/5

x in { -1, 8/5 }

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