x^2+2(1/2x-10)=0

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Solution for x^2+2(1/2x-10)=0 equation: 


x in (-oo:+oo)

2*((1/2)*x-10)+x^2 = 0

2*(1/2*x-10)+x^2 = 0

2*(1/2*x-10)+x^2 = 0

x^2+x-20 = 0

x^2+x-20 = 0

x^2+x-20 = 0

DELTA = 1^2-(-20*1*4)

DELTA = 81

DELTA > 0

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

x = 4 or x = -5

(x+5)*(x-4) = 0

(x+5)*(x-4) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -5, 4 }

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