3(x-10/6)^2-49/3

Solution for 3(x-10/6)^2-49/3 equation:

x in (-oo:+oo)

3*(x-(10/6))^2-(49/3) = 0

3*(x-5/3)^2-49/3 = 0

(3^2*(x-5/3)^2)/3-49/3 = 0

3^2*(x-5/3)^2-49 = 0

9*x^2-30*x-24 = 0

9*x^2-30*x-24 = 0

3*(3*x^2-10*x-8) = 0

3*x^2-10*x-8 = 0

DELTA = (-10)^2-(-8*3*4)

DELTA = 196

DELTA > 0

x = (196^(1/2)+10)/(2*3) or x = (10-196^(1/2))/(2*3)

x = 4 or x = -2/3

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

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

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

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

( 3 )

3 = 0

x belongs to the empty set

( x+2/3 )

x+2/3 = 0 // - 2/3

x = -2/3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2/3, 4 }