(2x^2-9)/3-x

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Solution for (2x^2-9)/3-x equation: 


x in (-oo:+oo)

(2*x^2-9)/3-x = 0

(2*x^2-9)/3+(3*(-x))/3 = 0

2*x^2+3*(-x)-9 = 0

2*x^2-3*x-9 = 0

2*x^2-3*x-9 = 0

2*x^2-3*x-9 = 0

DELTA = (-3)^2-(-9*2*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(2*2) or x = (3-81^(1/2))/(2*2)

x = 3 or x = -3/2

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

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

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

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

( x+3/2 )

x+3/2 = 0 // - 3/2

x = -3/2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -3/2, 3 }

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