24=((3x-1)*(x+3))/2

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Solution for 24=((3x-1)*(x+3))/2 equation:


x in (-oo:+oo)

24 = ((3*x-1)*(x+3))/2 // - ((3*x-1)*(x+3))/2

24-(((3*x-1)*(x+3))/2) = 0

(-1*(3*x-1)*(x+3))/2+24 = 0

(-1*(3*x-1)*(x+3))/2+(2*24)/2 = 0

2*24-1*(3*x-1)*(x+3) = 0

51-3*x^2-8*x = 0

51-3*x^2-8*x = 0

51-3*x^2-8*x = 0

DELTA = (-8)^2-(-3*4*51)

DELTA = 676

DELTA > 0

x = (676^(1/2)+8)/(-3*2) or x = (8-676^(1/2))/(-3*2)

x = -17/3 or x = 3

(x+17/3)*(x-3) = 0

((x+17/3)*(x-3))/2 = 0

((x+17/3)*(x-3))/2 = 0 // * 2

(x+17/3)*(x-3) = 0

( x+17/3 )

x+17/3 = 0 // - 17/3

x = -17/3

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -17/3, 3 }

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