(-4a-1)/-10a=3/8

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Solution for (-4a-1)/-10a=3/8 equation:


a in (-oo:+oo)

a*((-4*a-1)/(-10)) = 3/8 // - 3/8

a*((-4*a-1)/(-10))-(3/8) = 0

a*((-4*a-1)/(-10))-3/8 = 0

(a*(-4*a-1))/(-10)-3/8 = 0

(8*a*(-4*a-1))/(-10*8)+(-10*(-3))/(-10*8) = 0

8*a*(-4*a-1)-10*(-3) = 0

30-32*a^2-8*a = 0

30-32*a^2-8*a = 0

2*(15-16*a^2-4*a) = 0

15-16*a^2-4*a = 0

DELTA = (-4)^2-(-16*4*15)

DELTA = 976

DELTA > 0

a = (976^(1/2)+4)/(-16*2) or a = (4-976^(1/2))/(-16*2)

a = (4*61^(1/2)+4)/(-32) or a = (4-4*61^(1/2))/(-32)

2*(a-((4*61^(1/2)+4)/(-32)))*(a-((4-4*61^(1/2))/(-32))) = 0

(2*(a-((4*61^(1/2)+4)/(-32)))*(a-((4-4*61^(1/2))/(-32))))/(-10*8) = 0

(2*(a-((4*61^(1/2)+4)/(-32)))*(a-((4-4*61^(1/2))/(-32))))/(-10*8) = 0 // * -10*8

2*(a-((4*61^(1/2)+4)/(-32)))*(a-((4-4*61^(1/2))/(-32))) = 0

( a-((4*61^(1/2)+4)/(-32)) )

a-((4*61^(1/2)+4)/(-32)) = 0 // + (4*61^(1/2)+4)/(-32)

a = (4*61^(1/2)+4)/(-32)

( a-((4-4*61^(1/2))/(-32)) )

a-((4-4*61^(1/2))/(-32)) = 0 // + (4-4*61^(1/2))/(-32)

a = (4-4*61^(1/2))/(-32)

a in { (4*61^(1/2)+4)/(-32), (4-4*61^(1/2))/(-32) }

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