3/(2x+67)=5(x-1)

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Solution for 3/(2x+67)=5(x-1) equation:


D( x )

2*x+67 = 0

2*x+67 = 0

2*x+67 = 0

2*x+67 = 0 // - 67

2*x = -67 // : 2

x = -67/2

x in (-oo:-67/2) U (-67/2:+oo)

3/(2*x+67) = 5*(x-1) // - 5*(x-1)

3/(2*x+67)-(5*(x-1)) = 0

3/(2*x+67)-5*(x-1) = 0

3/(2*x+67)+(-5*(x-1)*(2*x+67))/(2*x+67) = 0

3-5*(x-1)*(2*x+67) = 0

338-10*x^2-325*x = 0

338-10*x^2-325*x = 0

338-10*x^2-325*x = 0

DELTA = (-325)^2-(-10*4*338)

DELTA = 119145

DELTA > 0

x = (119145^(1/2)+325)/(-10*2) or x = (325-119145^(1/2))/(-10*2)

x = (13*705^(1/2)+325)/(-20) or x = (325-13*705^(1/2))/(-20)

(x-((13*705^(1/2)+325)/(-20)))*(x-((325-13*705^(1/2))/(-20))) = 0

((x-((13*705^(1/2)+325)/(-20)))*(x-((325-13*705^(1/2))/(-20))))/(2*x+67) = 0

((x-((13*705^(1/2)+325)/(-20)))*(x-((325-13*705^(1/2))/(-20))))/(2*x+67) = 0 // * 2*x+67

(x-((13*705^(1/2)+325)/(-20)))*(x-((325-13*705^(1/2))/(-20))) = 0

( x-((13*705^(1/2)+325)/(-20)) )

x-((13*705^(1/2)+325)/(-20)) = 0 // + (13*705^(1/2)+325)/(-20)

x = (13*705^(1/2)+325)/(-20)

( x-((325-13*705^(1/2))/(-20)) )

x-((325-13*705^(1/2))/(-20)) = 0 // + (325-13*705^(1/2))/(-20)

x = (325-13*705^(1/2))/(-20)

x in { (13*705^(1/2)+325)/(-20), (325-13*705^(1/2))/(-20) }

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