((x)(x+2))/2=24x^2

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Solution for ((x)(x+2))/2=24x^2 equation: 


x in (-oo:+oo)

(x*(x+2))/2 = 24*x^2 // - 24*x^2

(x*(x+2))/2-(24*x^2) = 0

(x*(x+2))/2-24*x^2 = 0

(x*(x+2))/2+(-24*2*x^2)/2 = 0

x*(x+2)-24*2*x^2 = 0

2*x-47*x^2 = 0

2*x-47*x^2 = 0

x*(2-47*x) = 0

2-47*x = 0 // - 2

-47*x = -2 // : -47

x = -2/(-47)

x = 2/47

x*(x-2/47) = 0

(x*(x-2/47))/2 = 0

(x*(x-2/47))/2 = 0 // * 2

x*(x-2/47) = 0

( x-2/47 )

x-2/47 = 0 // + 2/47

x = 2/47

( x )

x = 0

x in { 2/47, 0 }

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