23x-12/(x+10)(x-12)

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Solution for 23x-12/(x+10)(x-12) equation: 


D( x )

x+10 = 0

x+10 = 0

x+10 = 0

x+10 = 0 // - 10

x = -10

x in (-oo:-10) U (-10:+oo)

23*x-((12/(x+10))*(x-12)) = 0

23*x-12*(x-12)*(x+10)^-1 = 0

(-12*(x-12))/(x+10)+23*x = 0

(-12*(x-12))/(x+10)+(23*x*(x+10))/(x+10) = 0

23*x*(x+10)-12*(x-12) = 0

23*x^2+218*x+144 = 0

23*x^2+218*x+144 = 0

23*x^2+218*x+144 = 0

DELTA = 218^2-(4*23*144)

DELTA = 34276

DELTA > 0

x = (34276^(1/2)-218)/(2*23) or x = (-34276^(1/2)-218)/(2*23)

x = (2*8569^(1/2)-218)/46 or x = (-2*8569^(1/2)-218)/46

(x-((-2*8569^(1/2)-218)/46))*(x-((2*8569^(1/2)-218)/46)) = 0

((x-((-2*8569^(1/2)-218)/46))*(x-((2*8569^(1/2)-218)/46)))/(x+10) = 0

((x-((-2*8569^(1/2)-218)/46))*(x-((2*8569^(1/2)-218)/46)))/(x+10) = 0 // * x+10

(x-((-2*8569^(1/2)-218)/46))*(x-((2*8569^(1/2)-218)/46)) = 0

( x-((-2*8569^(1/2)-218)/46) )

x-((-2*8569^(1/2)-218)/46) = 0 // + (-2*8569^(1/2)-218)/46

x = (-2*8569^(1/2)-218)/46

( x-((2*8569^(1/2)-218)/46) )

x-((2*8569^(1/2)-218)/46) = 0 // + (2*8569^(1/2)-218)/46

x = (2*8569^(1/2)-218)/46

x in { (-2*8569^(1/2)-218)/46, (2*8569^(1/2)-218)/46 }

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