2(x+3)^2/3=72

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Solution for 2(x+3)^2/3=72 equation:


x in (-oo:+oo)

(2*(x+3)^2)/3 = 72 // - 72

(2*(x+3)^2)/3-72 = 0

(2*(x+3)^2)/3+(-72*3)/3 = 0

2*(x+3)^2-72*3 = 0

2*x^2+12*x-198 = 0

2*x^2+12*x-198 = 0

2*(x^2+6*x-99) = 0

x^2+6*x-99 = 0

DELTA = 6^2-(-99*1*4)

DELTA = 432

DELTA > 0

x = (432^(1/2)-6)/(1*2) or x = (-432^(1/2)-6)/(1*2)

x = (12*3^(1/2)-6)/2 or x = (-12*3^(1/2)-6)/2

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

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

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

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

( x-((-12*3^(1/2)-6)/2) )

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

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

( x-((12*3^(1/2)-6)/2) )

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

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

x in { (-12*3^(1/2)-6)/2, (12*3^(1/2)-6)/2 }

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