((5+x)*(6*x))/24=741

Solution for ((5+x)*(6*x))/24=741 equation:

x in (-oo:+oo)

(6*x*(x+5))/24 = 741 // - 741

(6*x*(x+5))/24-741 = 0

(6*x*(x+5))/24+(-741*24)/24 = 0

6*x*(x+5)-741*24 = 0

6*x^2+30*x-17784 = 0

6*x^2+30*x-17784 = 0

6*(x^2+5*x-2964) = 0

x^2+5*x-2964 = 0

DELTA = 5^2-(-2964*1*4)

DELTA = 11881

DELTA > 0

x = (11881^(1/2)-5)/(1*2) or x = (-11881^(1/2)-5)/(1*2)

x = 52 or x = -57

6*(x+57)*(x-52) = 0

(6*(x+57)*(x-52))/24 = 0

(6*(x+57)*(x-52))/24 = 0 // * 24

6*(x+57)*(x-52) = 0

( x+57 )

x+57 = 0 // - 57

x = -57

( x-52 )

x-52 = 0 // + 52

x = 52

x in { -57, 52 }