(10x^2-7x-6)/(2x-3)

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Solution for (10x^2-7x-6)/(2x-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)

(10*x^2-(7*x)-6)/(2*x-3) = 0

(10*x^2-7*x-6)/(2*x-3) = 0

10*x^2-7*x-6 = 0

10*x^2-7*x-6 = 0

DELTA = (-7)^2-(-6*4*10)

DELTA = 289

DELTA > 0

x = (289^(1/2)+7)/(2*10) or x = (7-289^(1/2))/(2*10)

x = 6/5 or x = -1/2

(x+1/2)*(x-6/5) = 0

((x+1/2)*(x-6/5))/(2*x-3) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-6/5 )

x-6/5 = 0 // + 6/5

x = 6/5

x in { -1/2, 6/5 }

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