6m^2/9m^4-15m^3

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Solution for 6m^2/9m^4-15m^3 equation:


m in (-oo:+oo)

((6*m^2)/9)*m^4-(15*m^3) = 0

((6*m^2)/9)*m^4-15*m^3 = 0

2/3*m^6-15*m^3 = 0

t_1 = m^3

2/3*t_1^2-15*t_1^1 = 0

2/3*t_1^2-15*t_1 = 0

DELTA = (-15)^2-(0*2/3*4)

DELTA = 225

DELTA > 0

t_1 = (225^(1/2)+15)/(2/3*2) or t_1 = (15-225^(1/2))/(2/3*2)

t_1 = 45/2 or t_1 = 0

t_1 = 0

m^3+0 = 0

m^3 = 0

1*m^3 = 0 // : 1

m^3 = 0

m = 0

t_1 = 45/2

m^3-45/2 = 0

1*m^3 = 45/2 // : 1

m^3 = 45/2

m^3 = 45/2 // ^ 1/3

m = (45/2)^(1/3)

m in { 0, (45/2)^(1/3) }

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