(9x-55)(3x/55)=90

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Solution for (9x-55)(3x/55)=90 equation: 


x in (-oo:+oo)

((3*x)/55)*(9*x-55) = 90 // - 90

((3*x)/55)*(9*x-55)-90 = 0

3/55*x*(9*x-55)-90 = 0

3/55*x*(9*x-55)-90 = 0

27/55*x^2-3*x-90 = 0

27/55*x^2-3*x-90 = 0

3*(9/55*x^2-x-30) = 0

9/55*x^2-x-30 = 0

DELTA = (-1)^2-(-30*9/55*4)

DELTA = 227/11

DELTA > 0

x = ((227/11)^(1/2)+1)/(9/55*2) or x = (1-(227/11)^(1/2))/(9/55*2)

x = 55/18*((227/11)^(1/2)+1) or x = 55/18*(1-(227/11)^(1/2))

3*(x-55/18*(1-(227/11)^(1/2)))*(x-55/18*((227/11)^(1/2)+1)) = 0

3*(x-55/18*(1-(227/11)^(1/2)))*(x-55/18*((227/11)^(1/2)+1)) = 0

( x-55/18*((227/11)^(1/2)+1) )

x-55/18*((227/11)^(1/2)+1) = 0 // + -55/18*((227/11)^(1/2)+1)

x = -(-55/18*((227/11)^(1/2)+1))

x = 55/18*((227/11)^(1/2)+1)

( x-55/18*(1-(227/11)^(1/2)) )

x-55/18*(1-(227/11)^(1/2)) = 0 // + -55/18*(1-(227/11)^(1/2))

x = -(-55/18*(1-(227/11)^(1/2)))

x = 55/18*(1-(227/11)^(1/2))

x in { 55/18*((227/11)^(1/2)+1), 55/18*(1-(227/11)^(1/2)) }

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