1/2(2x+4)(x)=54

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Solution for 1/2(2x+4)(x)=54 equation: 


x in (-oo:+oo)

(1/2)*x*(2*x+4) = 54 // - 54

(1/2)*x*(2*x+4)-54 = 0

1/2*x*(2*x+4)-54 = 0

1/2*x*(2*x+4)-54 = 0

x^2+2*x-54 = 0

x^2+2*x-54 = 0

x^2+2*x-54 = 0

DELTA = 2^2-(-54*1*4)

DELTA = 220

DELTA > 0

x = (220^(1/2)-2)/(1*2) or x = (-220^(1/2)-2)/(1*2)

x = (2*55^(1/2)-2)/2 or x = (-2*55^(1/2)-2)/2

(x-((-2*55^(1/2)-2)/2))*(x-((2*55^(1/2)-2)/2)) = 0

(x-((-2*55^(1/2)-2)/2))*(x-((2*55^(1/2)-2)/2)) = 0

( x-((-2*55^(1/2)-2)/2) )

x-((-2*55^(1/2)-2)/2) = 0 // + (-2*55^(1/2)-2)/2

x = (-2*55^(1/2)-2)/2

( x-((2*55^(1/2)-2)/2) )

x-((2*55^(1/2)-2)/2) = 0 // + (2*55^(1/2)-2)/2

x = (2*55^(1/2)-2)/2

x in { (-2*55^(1/2)-2)/2, (2*55^(1/2)-2)/2 }

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