(4x+5)/2x=3

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


x in (-oo:+oo)

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

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

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

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

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

4*x^2+5*x-6 = 0

4*x^2+5*x-6 = 0

4*x^2+5*x-6 = 0

DELTA = 5^2-(-6*4*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(2*4) or x = (-121^(1/2)-5)/(2*4)

x = 3/4 or x = -2

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

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

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

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3/4 )

x-3/4 = 0 // + 3/4

x = 3/4

x in { -2, 3/4 }

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