5-2a/3(2a-5)

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Solution for 5-2a/3(2a-5) equation: 


a in (-oo:+oo)

5-(((2*a)/3)*(2*a-5)) = 0

(-2/3)*a*(2*a-5)+5 = 0

5-2/3*a*(2*a-5) = 0

5-2/3*a*(2*a-5) = 0

10/3*a-4/3*a^2+5 = 0

10/3*a-4/3*a^2+5 = 0

10/3*a-4/3*a^2+5 = 0

DELTA = (10/3)^2-(-4/3*4*5)

DELTA = 340/9

DELTA > 0

a = ((340/9)^(1/2)-10/3)/(-4/3*2) or a = (-(340/9)^(1/2)-10/3)/(-4/3*2)

a = -3/8*((340/9)^(1/2)-10/3) or a = 3/8*((340/9)^(1/2)+10/3)

(a+3/8*((340/9)^(1/2)-10/3))*(a-3/8*((340/9)^(1/2)+10/3)) = 0

(a+3/8*((340/9)^(1/2)-10/3))*(a-3/8*((340/9)^(1/2)+10/3)) = 0

( a+3/8*((340/9)^(1/2)-10/3) )

a+3/8*((340/9)^(1/2)-10/3) = 0 // - 3/8*((340/9)^(1/2)-10/3)

a = -(3/8*((340/9)^(1/2)-10/3))

a = -3/8*((340/9)^(1/2)-10/3)

( a-3/8*((340/9)^(1/2)+10/3) )

a-3/8*((340/9)^(1/2)+10/3) = 0 // + -3/8*((340/9)^(1/2)+10/3)

a = -(-3/8*((340/9)^(1/2)+10/3))

a = 3/8*((340/9)^(1/2)+10/3)

a in { -3/8*((340/9)^(1/2)-10/3), 3/8*((340/9)^(1/2)+10/3) }

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