10(x-2)/5x-10

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Solution for 10(x-2)/5x-10 equation: 


x in (-oo:+oo)

x*((10*(x-2))/5)-10 = 0

(10*x*(x-2))/5-10 = 0

(10*x*(x-2))/5+(-10*5)/5 = 0

10*x*(x-2)-10*5 = 0

10*x^2-20*x-50 = 0

10*x^2-20*x-50 = 0

10*(x^2-2*x-5) = 0

x^2-2*x-5 = 0

DELTA = (-2)^2-(-5*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+2)/(1*2) or x = (2-24^(1/2))/(1*2)

x = (2*6^(1/2)+2)/2 or x = (2-2*6^(1/2))/2

10*(x-((2-2*6^(1/2))/2))*(x-((2*6^(1/2)+2)/2)) = 0

(10*(x-((2-2*6^(1/2))/2))*(x-((2*6^(1/2)+2)/2)))/5 = 0

(10*(x-((2-2*6^(1/2))/2))*(x-((2*6^(1/2)+2)/2)))/5 = 0 // * 5

10*(x-((2-2*6^(1/2))/2))*(x-((2*6^(1/2)+2)/2)) = 0

( 10 )

10 = 0

x belongs to the empty set

( x-((2*6^(1/2)+2)/2) )

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

x = (2*6^(1/2)+2)/2

( x-((2-2*6^(1/2))/2) )

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

x = (2-2*6^(1/2))/2

x in { (2*6^(1/2)+2)/2, (2-2*6^(1/2))/2 }

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