3(2/5m^2+3m-4/3)+2(m^2-3/6)

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Solution for 3(2/5m^2+3m-4/3)+2(m^2-3/6) equation: 


m in (-oo:+oo)

3*((2/5)*m^2+3*m-(4/3))+2*(m^2-(3/6)) = 0

3*((2/5)*m^2+3*m-4/3)+2*(m^2-1/2) = 0

3*(2/5*m^2+3*m-4/3)+2*(m^2-1/2) = 0

3*(2/5*m^2+3*m-4/3)+2*(m^2-1/2) = 0

16/5*m^2+9*m-5 = 0

16/5*m^2+9*m-5 = 0

16/5*m^2+9*m-5 = 0

DELTA = 9^2-(-5*16/5*4)

DELTA = 145

DELTA > 0

m = (145^(1/2)-9)/(2*16/5) or m = (-145^(1/2)-9)/(2*16/5)

m = 5/32*(145^(1/2)-9) or m = -5/32*(145^(1/2)+9)

(m+5/32*(145^(1/2)+9))*(m-5/32*(145^(1/2)-9)) = 0

(m+5/32*(145^(1/2)+9))*(m-5/32*(145^(1/2)-9)) = 0

( m+5/32*(145^(1/2)+9) )

m+5/32*(145^(1/2)+9) = 0 // - 5/32*(145^(1/2)+9)

m = -(5/32*(145^(1/2)+9))

m = -5/32*(145^(1/2)+9)

( m-5/32*(145^(1/2)-9) )

m-5/32*(145^(1/2)-9) = 0 // + -5/32*(145^(1/2)-9)

m = -(-5/32*(145^(1/2)-9))

m = 5/32*(145^(1/2)-9)

m in { -5/32*(145^(1/2)+9), 5/32*(145^(1/2)-9) }

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