((x^2)-9)/3=4x

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Solution for ((x^2)-9)/3=4x equation: 


x in (-oo:+oo)

(x^2-9)/3 = 4*x // - 4*x

(x^2-9)/3-(4*x) = 0

(x^2-9)/3-4*x = 0

(x^2-9)/3+(-4*3*x)/3 = 0

x^2-4*3*x-9 = 0

x^2-12*x-9 = 0

x^2-12*x-9 = 0

x^2-12*x-9 = 0

DELTA = (-12)^2-(-9*1*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+12)/(1*2) or x = (12-180^(1/2))/(1*2)

x = (6*5^(1/2)+12)/2 or x = (12-6*5^(1/2))/2

(x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)) = 0

((x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)))/3 = 0

((x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)))/3 = 0 // * 3

(x-((12-6*5^(1/2))/2))*(x-((6*5^(1/2)+12)/2)) = 0

( x-((12-6*5^(1/2))/2) )

x-((12-6*5^(1/2))/2) = 0 // + (12-6*5^(1/2))/2

x = (12-6*5^(1/2))/2

( x-((6*5^(1/2)+12)/2) )

x-((6*5^(1/2)+12)/2) = 0 // + (6*5^(1/2)+12)/2

x = (6*5^(1/2)+12)/2

x in { (12-6*5^(1/2))/2, (6*5^(1/2)+12)/2 }

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