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

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


x in (-oo:+oo)

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

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

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

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

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

9*x^2-30*x-24+49 = 0

9*x^2-30*x+25 = 0

9*x^2-30*x+25 = 0

9*x^2-30*x+25 = 0

DELTA = (-30)^2-(4*9*25)

DELTA = 0

x = 30/(2*9)

x = 5/3 or x = 5/3

(x-5/3)^2 = 0

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

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

(x-5/3)^2 = 0

x-5/3 = 0 // + 5/3

x = 5/3

x in { 5/3, 5/3 }

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