2(m/3-5)^3=128

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Solution for 2(m/3-5)^3=128 equation:


m in (-oo:+oo)

2*(m/3-5)^3 = 128 // - 128

2*(m/3-5)^3-128 = 0

2*(1/3*m-5)^3-128 = 0

2*(1/3*m-5)^3-128 = 0

2/27*m^3-10/3*m^2+50*m-378 = 0

2/27*m^3-10/3*m^2+50*m-378 = 0

2*(1/27*m^3-5/3*m^2+25*m-189) = 0

(1/27)*m^3+(-5/3)*m^2+25*m-189 = 0

(1/27)*m^3+(-5/3)*m^2+25*m-189 = 0 // * 0

{ 1, -1, 3, -3, 7, -7, 9, -9, 21, -21, 27, -27, 63, -63, 81, -81, 189, -189, 243, -243, 567, -567, 729, -729, 1701, -1701, 5103, -5103 }

1

m = 1

m^3-45*m^2+675*m-5103 = -4472

1

-1

m = -1

m^3-45*m^2+675*m-5103 = -5824

-1

3

m = 3

m^3-45*m^2+675*m-5103 = -3456

3

-3

m = -3

m^3-45*m^2+675*m-5103 = -7560

-3

7

m = 7

m^3-45*m^2+675*m-5103 = -2240

7

-7

m = -7

m^3-45*m^2+675*m-5103 = -12376

-7

9

m = 9

m^3-45*m^2+675*m-5103 = -1944

9

-9

m = -9

m^3-45*m^2+675*m-5103 = -15552

-9

21

m = 21

m^3-45*m^2+675*m-5103 = -1512

21

-21

m = -21

m^3-45*m^2+675*m-5103 = -48384

-21

27

m = 27

m^3-45*m^2+675*m-5103 = 0

27

m-27

m^2-18*m+189

m^3-45*m^2+675*m-5103

m-27

27*m^2-m^3

675*m-18*m^2-5103

18*m^2-486*m

189*m-5103

5103-189*m

0

m^2-18*m+189 = 0

DELTA = (-18)^2-(1*4*189)

DELTA = -432

DELTA < 0

m in { 27}

2*(m-27) = 0

2*(m-27) = 0

m-27 = 0 // + 27

m = 27

m = 27

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