(8x^2+24x)/(2x^2+5x-3)

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Solution for (8x^2+24x)/(2x^2+5x-3) equation:


D( x )

2*x^2+5*x-3 = 0

2*x^2+5*x-3 = 0

2*x^2+5*x-3 = 0

2*x^2+5*x-3 = 0

DELTA = 5^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)

x = 1/2 or x = -3

x in (-oo:-3) U (-3:1/2) U (1/2:+oo)

(8*x^2+24*x)/(2*x^2+5*x-3) = 0

8*x^2+24*x = 0

8*x*(x+3) = 0

x+3 = 0 // - 3

x = -3

8*x*(x+3) = 0

2*x^2+5*x-3 = 0

2*x^2+5*x-3 = 0

DELTA = 5^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)

x = 1/2 or x = -3

(x+3)*(x-1/2) = 0

(8*x*(x+3))/((x+3)*(x-1/2)) = 0

( 8*x )

8*x = 0 // : 8

x = 0

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3}

x = 0

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