459/x+3c/x=4d+23p

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Solution for 459/x+3c/x=4d+23p equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(3*c)/x+459/x = 4*d+23*p // - 4*d+23*p

(3*c)/x-(4*d)-(23*p)+459/x = 0

(3*c)/x-4*d-23*p+459/x = 0

3*c*x^-1-4*d-23*p+459*x^-1 = 0

t_1 = x^-1

3*c*t_1^1-4*d-23*p+459*t_1^1 = 0

459*t_1-4*d-23*p = 0 // + -4*d-23*p

459*t_1 = -(-4*d-23*p) // : 459

t_1 = (-(-4*d-23*p))/459

t_1 = (-(-4*d-23*p))/459

x^-1-((-(-4*d-23*p))/459) = 0

(1/459)*(-4*d-23*p)+x^-1 = 0

1/459*(-4*d-23*p)+1/x = 0

(1/459*x*(-4*d-23*p))/x+1/x = 0

1/459*x*(-4*d-23*p)+1 = 0

1-4/459*d*x-23/459*p*x = 0

1-4/459*d*x-23/459*p*x = 0

1-23/459*p*x = 0 // - 1

-23/459*p*x = -1 // : -23/459*p

x = -1/(-23/459*p)

x = 459/23*p^-1

x-459/23*p^-1 = 0

(x-459/23*p^-1)/x = 0

(x-459/23*p^-1)/x = 0 // * x

x-459/23*p^-1 = 0

x-459/23*p^-1 = 0 // + -459/23*p^-1

x = -(-459/23*p^-1)

x = 459/23*p^-1

x = 459/23*p^-1

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