5-3a/7(3a-5)

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Solution for 5-3a/7(3a-5) equation:


a in (-oo:+oo)

5-(((3*a)/7)*(3*a-5)) = 0

(-3/7)*a*(3*a-5)+5 = 0

5-3/7*a*(3*a-5) = 0

5-3/7*a*(3*a-5) = 0

15/7*a-9/7*a^2+5 = 0

15/7*a-9/7*a^2+5 = 0

15/7*a-9/7*a^2+5 = 0

DELTA = (15/7)^2-(-9/7*4*5)

DELTA = 1485/49

DELTA > 0

a = ((1485/49)^(1/2)-15/7)/(-9/7*2) or a = (-(1485/49)^(1/2)-15/7)/(-9/7*2)

a = -7/18*((1485/49)^(1/2)-15/7) or a = 7/18*((1485/49)^(1/2)+15/7)

(a+7/18*((1485/49)^(1/2)-15/7))*(a-7/18*((1485/49)^(1/2)+15/7)) = 0

(a+7/18*((1485/49)^(1/2)-15/7))*(a-7/18*((1485/49)^(1/2)+15/7)) = 0

( a+7/18*((1485/49)^(1/2)-15/7) )

a+7/18*((1485/49)^(1/2)-15/7) = 0 // - 7/18*((1485/49)^(1/2)-15/7)

a = -(7/18*((1485/49)^(1/2)-15/7))

a = -7/18*((1485/49)^(1/2)-15/7)

( a-7/18*((1485/49)^(1/2)+15/7) )

a-7/18*((1485/49)^(1/2)+15/7) = 0 // + -7/18*((1485/49)^(1/2)+15/7)

a = -(-7/18*((1485/49)^(1/2)+15/7))

a = 7/18*((1485/49)^(1/2)+15/7)

a in { -7/18*((1485/49)^(1/2)-15/7), 7/18*((1485/49)^(1/2)+15/7) }

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