((3x-1)/2)(5x)=11

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Solution for ((3x-1)/2)(5x)=11 equation:


x in (-oo:+oo)

5*x*((3*x-1)/2) = 11 // - 11

5*x*((3*x-1)/2)-11 = 0

(5*x*(3*x-1))/2-11 = 0

(5*x*(3*x-1))/2+(-11*2)/2 = 0

5*x*(3*x-1)-11*2 = 0

15*x^2-5*x-22 = 0

15*x^2-5*x-22 = 0

15*x^2-5*x-22 = 0

DELTA = (-5)^2-(-22*4*15)

DELTA = 1345

DELTA > 0

x = (1345^(1/2)+5)/(2*15) or x = (5-1345^(1/2))/(2*15)

x = (1345^(1/2)+5)/30 or x = (5-1345^(1/2))/30

(x-((5-1345^(1/2))/30))*(x-((1345^(1/2)+5)/30)) = 0

((x-((5-1345^(1/2))/30))*(x-((1345^(1/2)+5)/30)))/2 = 0

((x-((5-1345^(1/2))/30))*(x-((1345^(1/2)+5)/30)))/2 = 0 // * 2

(x-((5-1345^(1/2))/30))*(x-((1345^(1/2)+5)/30)) = 0

( x-((1345^(1/2)+5)/30) )

x-((1345^(1/2)+5)/30) = 0 // + (1345^(1/2)+5)/30

x = (1345^(1/2)+5)/30

( x-((5-1345^(1/2))/30) )

x-((5-1345^(1/2))/30) = 0 // + (5-1345^(1/2))/30

x = (5-1345^(1/2))/30

x in { (1345^(1/2)+5)/30, (5-1345^(1/2))/30 }

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