(x+7)*(x-2)/2=26

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Solution for (x+7)*(x-2)/2=26 equation: 


x in (-oo:+oo)

((x+7)*(x-2))/2 = 26 // - 26

((x+7)*(x-2))/2-26 = 0

((x+7)*(x-2))/2+(-26*2)/2 = 0

(x+7)*(x-2)-26*2 = 0

x^2+5*x-66 = 0

x^2+5*x-66 = 0

x^2+5*x-66 = 0

DELTA = 5^2-(-66*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)-5)/(1*2) or x = (-289^(1/2)-5)/(1*2)

x = 6 or x = -11

(x+11)*(x-6) = 0

((x+11)*(x-6))/2 = 0

((x+11)*(x-6))/2 = 0 // * 2

(x+11)*(x-6) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -11, 6 }

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