(x^2-7x)/2=9

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Solution for (x^2-7x)/2=9 equation: 


x in (-oo:+oo)

(x^2-(7*x))/2 = 9 // - 9

(x^2-(7*x))/2-9 = 0

(x^2-7*x)/2-9 = 0

(x^2-7*x)/2+(-9*2)/2 = 0

x^2-7*x-9*2 = 0

x^2-7*x-18 = 0

x^2-7*x-18 = 0

x^2-7*x-18 = 0

DELTA = (-7)^2-(-18*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(1*2) or x = (7-121^(1/2))/(1*2)

x = 9 or x = -2

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

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

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

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x-9 )

x-9 = 0 // + 9

x = 9

x in { -2, 9 }

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