13/(2x-3)=11(x+3)

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Solution for 13/(2x-3)=11(x+3) equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

13/(2*x-3) = 11*(x+3) // - 11*(x+3)

13/(2*x-3)-(11*(x+3)) = 0

13/(2*x-3)-11*(x+3) = 0

13/(2*x-3)+(-11*(x+3)*(2*x-3))/(2*x-3) = 0

13-11*(x+3)*(2*x-3) = 0

112-22*x^2-33*x = 0

112-22*x^2-33*x = 0

112-22*x^2-33*x = 0

DELTA = (-33)^2-(-22*4*112)

DELTA = 10945

DELTA > 0

x = (10945^(1/2)+33)/(-22*2) or x = (33-10945^(1/2))/(-22*2)

x = (10945^(1/2)+33)/(-44) or x = (33-10945^(1/2))/(-44)

(x-((10945^(1/2)+33)/(-44)))*(x-((33-10945^(1/2))/(-44))) = 0

((x-((10945^(1/2)+33)/(-44)))*(x-((33-10945^(1/2))/(-44))))/(2*x-3) = 0

((x-((10945^(1/2)+33)/(-44)))*(x-((33-10945^(1/2))/(-44))))/(2*x-3) = 0 // * 2*x-3

(x-((10945^(1/2)+33)/(-44)))*(x-((33-10945^(1/2))/(-44))) = 0

( x-((10945^(1/2)+33)/(-44)) )

x-((10945^(1/2)+33)/(-44)) = 0 // + (10945^(1/2)+33)/(-44)

x = (10945^(1/2)+33)/(-44)

( x-((33-10945^(1/2))/(-44)) )

x-((33-10945^(1/2))/(-44)) = 0 // + (33-10945^(1/2))/(-44)

x = (33-10945^(1/2))/(-44)

x in { (10945^(1/2)+33)/(-44), (33-10945^(1/2))/(-44) }

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