(6x^2+5x-15)/(2x+3)

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Solution for (6x^2+5x-15)/(2x+3) equation:


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

(6*x^2+5*x-15)/(2*x+3) = 0

6*x^2+5*x-15 = 0

6*x^2+5*x-15 = 0

DELTA = 5^2-(-15*4*6)

DELTA = 385

DELTA > 0

x = (385^(1/2)-5)/(2*6) or x = (-385^(1/2)-5)/(2*6)

x = (385^(1/2)-5)/12 or x = (-(385^(1/2)+5))/12

(x+(385^(1/2)+5)/12)*(x-((385^(1/2)-5)/12)) = 0

((x+(385^(1/2)+5)/12)*(x-((385^(1/2)-5)/12)))/(2*x+3) = 0

( x+(385^(1/2)+5)/12 )

x+(385^(1/2)+5)/12 = 0 // - (385^(1/2)+5)/12

x = -((385^(1/2)+5)/12)

( x-((385^(1/2)-5)/12) )

x-((385^(1/2)-5)/12) = 0 // + (385^(1/2)-5)/12

x = (385^(1/2)-5)/12

x in { -((385^(1/2)+5)/12), (385^(1/2)-5)/12 }

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