(4x-37)/3=10/x

Solution for (4x-37)/3=10/x equation:

D( x )

x = 0

x = 0

x = 0

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

(4*x-37)/3 = 10/x // - 10/x

(4*x-37)/3-(10/x) = 0

(4*x-37)/3-10*x^-1 = 0

(4*x-37)/3-10/x = 0

(x*(4*x-37))/(3*x)+(-10*3)/(3*x) = 0

x*(4*x-37)-10*3 = 0

4*x^2-37*x-30 = 0

4*x^2-37*x-30 = 0

4*x^2-37*x-30 = 0

DELTA = (-37)^2-(-30*4*4)

DELTA = 1849

DELTA > 0

x = (1849^(1/2)+37)/(2*4) or x = (37-1849^(1/2))/(2*4)

x = 10 or x = -3/4

(x+3/4)*(x-10) = 0

((x+3/4)*(x-10))/(3*x) = 0

((x+3/4)*(x-10))/(3*x) = 0 // * 3*x

(x+3/4)*(x-10) = 0

( x+3/4 )

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

x = -3/4

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -3/4, 10 }