(15x-120)/(2x-16)+(x-8)/2=-1/2

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Solution for (15x-120)/(2x-16)+(x-8)/2=-1/2 equation:


D( x )

2*x-16 = 0

2*x-16 = 0

2*x-16 = 0

2*x-16 = 0 // + 16

2*x = 16 // : 2

x = 16/2

x = 8

x in (-oo:8) U (8:+oo)

(15*x-120)/(2*x-16)+(x-8)/2 = -1/2 // + -1/2

(15*x-120)/(2*x-16)+(x-8)/2-(-1/2) = 0

(15*x-120)/(2*x-16)+(x-8)/2+1/2 = 0

(2*(15*x-120))/(2*(2*x-16))+((x-8)*(2*x-16))/(2*(2*x-16))+(1*(2*x-16))/(2*(2*x-16)) = 0

2*(15*x-120)+(x-8)*(2*x-16)+1*(2*x-16) = 0

2*x^2-2*x+2*x-112-16 = 0

2*x^2-128 = 0

(2*x^2-128)/(2*(2*x-16)) = 0

(2*x^2-128)/(2*(2*x-16)) = 0 // * 2*(2*x-16)

2*x^2-128 = 0

2*x^2 = 128 // : 2

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8}

x = -8

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