(-4x+3)/2x=7/2x

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Solution for (-4x+3)/2x=7/2x equation:


x in (-oo:+oo)

x*((3-4*x)/2) = (7/2)*x // - (7/2)*x

x*((3-4*x)/2)-((7/2)*x) = 0

x*((3-4*x)/2)+(-7/2)*x = 0

(x*(3-4*x))/2+(-7*x)/2 = 0

x*(3-4*x)-7*x = 0

-4*x^2-4*x = 0

-4*x^2-4*x = 0

-4*x*(x+1) = 0

x+1 = 0 // - 1

x = -1

-4*x*(x+1) = 0

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

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

-4*x*(x+1) = 0

( -4*x )

-4*x = 0 // : -4

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

x in { 0, -1 }

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