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

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

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

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

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

12*x-28*x^2-9*x^2-24 = 0

12*x-37*x^2-24 = 0

12*x-37*x^2-24 = 0

12*x-37*x^2-24 = 0

DELTA = 12^2-(-37*(-24)*4)

DELTA = -3408

DELTA < 0

1 = 0

1/(3*4*x) = 0

1/(3*4*x) = 0 // * 3*4*x

1 = 0

x belongs to the empty set

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