(2x-2)*x/2=182

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Solution for (2x-2)*x/2=182 equation: 


x in (-oo:+oo)

(x*(2*x-2))/2 = 182 // - 182

(x*(2*x-2))/2-182 = 0

(x*(2*x-2))/2+(-182*2)/2 = 0

x*(2*x-2)-182*2 = 0

2*x^2-2*x-364 = 0

2*x^2-2*x-364 = 0

2*(x^2-x-182) = 0

x^2-x-182 = 0

DELTA = (-1)^2-(-182*1*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)+1)/(1*2) or x = (1-729^(1/2))/(1*2)

x = 14 or x = -13

2*(x+13)*(x-14) = 0

(2*(x+13)*(x-14))/2 = 0

(2*(x+13)*(x-14))/2 = 0 // * 2

2*(x+13)*(x-14) = 0

( 2 )

2 = 0

x belongs to the empty set

( x+13 )

x+13 = 0 // - 13

x = -13

( x-14 )

x-14 = 0 // + 14

x = 14

x in { -13, 14 }

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