(3x^2+15x-42)/(x-7)

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Solution for (3x^2+15x-42)/(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

(3*x^2+15*x-42)/(x-7) = 0

3*x^2+15*x-42 = 0

3*(x^2+5*x-14) = 0

x^2+5*x-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)

x = 2 or x = -7

3*(x+7)*(x-2) = 0

(3*(x+7)*(x-2))/(x-7) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -7, 2 }

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