5/6(24x^2+18x-30)

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Solution for 5/6(24x^2+18x-30) equation: 


x in (-oo:+oo)

(5/6)*(24*x^2+18*x-30) = 0

5/6*(24*x^2+18*x-30) = 0

24*x^2+18*x-30 = 0

6*(4*x^2+3*x-5) = 0

4*x^2+3*x-5 = 0

DELTA = 3^2-(-5*4*4)

DELTA = 89

DELTA > 0

x = (89^(1/2)-3)/(2*4) or x = (-89^(1/2)-3)/(2*4)

x = (89^(1/2)-3)/8 or x = (-(89^(1/2)+3))/8

6*(x+(89^(1/2)+3)/8)*(x-((89^(1/2)-3)/8)) = 0

5/6*6*(x+(89^(1/2)+3)/8)*(x-((89^(1/2)-3)/8)) = 0

( x+(89^(1/2)+3)/8 )

x+(89^(1/2)+3)/8 = 0 // - (89^(1/2)+3)/8

x = -((89^(1/2)+3)/8)

( x-((89^(1/2)-3)/8) )

x-((89^(1/2)-3)/8) = 0 // + (89^(1/2)-3)/8

x = (89^(1/2)-3)/8

x in { -((89^(1/2)+3)/8), (89^(1/2)-3)/8 }

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