(a-2)/(2a+2)=-2a

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Solution for (a-2)/(2a+2)=-2a equation:


D( a )

2*a+2 = 0

2*a+2 = 0

2*a+2 = 0

2*a+2 = 0 // - 2

2*a = -2 // : 2

a = -2/2

a = -1

a in (-oo:-1) U (-1:+oo)

(a-2)/(2*a+2) = -2*a // + -2*a

(a-2)/(2*a+2)-(-2*a) = 0

(a-2)/(2*a+2)+2*a = 0

(a-2)/(2*a+2)+(2*a*(2*a+2))/(2*a+2) = 0

2*a*(2*a+2)+a-2 = 0

4*a^2+5*a-2 = 0

4*a^2+5*a-2 = 0

4*a^2+5*a-2 = 0

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

DELTA = 57

DELTA > 0

a = (57^(1/2)-5)/(2*4) or a = (-57^(1/2)-5)/(2*4)

a = (57^(1/2)-5)/8 or a = (-(57^(1/2)+5))/8

(a+(57^(1/2)+5)/8)*(a-((57^(1/2)-5)/8)) = 0

((a+(57^(1/2)+5)/8)*(a-((57^(1/2)-5)/8)))/(2*a+2) = 0

((a+(57^(1/2)+5)/8)*(a-((57^(1/2)-5)/8)))/(2*a+2) = 0 // * 2*a+2

(a+(57^(1/2)+5)/8)*(a-((57^(1/2)-5)/8)) = 0

( a+(57^(1/2)+5)/8 )

a+(57^(1/2)+5)/8 = 0 // - (57^(1/2)+5)/8

a = -((57^(1/2)+5)/8)

( a-((57^(1/2)-5)/8) )

a-((57^(1/2)-5)/8) = 0 // + (57^(1/2)-5)/8

a = (57^(1/2)-5)/8

a in { -((57^(1/2)+5)/8), (57^(1/2)-5)/8 }

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