(2x^2+15x+25)/(x-5)

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Solution for (2x^2+15x+25)/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

(2*x^2+15*x+25)/(x-5) = 0

2*x^2+15*x+25 = 0

2*x^2+15*x+25 = 0

DELTA = 15^2-(2*4*25)

DELTA = 25

DELTA > 0

x = (25^(1/2)-15)/(2*2) or x = (-25^(1/2)-15)/(2*2)

x = -5/2 or x = -5

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

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

( x+5/2 )

x+5/2 = 0 // - 5/2

x = -5/2

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -5/2, -5 }

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