1/2(3+x)x=44

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Solution for 1/2(3+x)x=44 equation: 


x in (-oo:+oo)

(1/2)*x*(x+3) = 44 // - 44

(1/2)*x*(x+3)-44 = 0

1/2*x*(x+3)-44 = 0

1/2*x*(x+3)-44 = 0

1/2*x^2+3/2*x-44 = 0

1/2*x^2+3/2*x-44 = 0

1/2*x^2+3/2*x-44 = 0

DELTA = (3/2)^2-(-44*1/2*4)

DELTA = 361/4

DELTA > 0

x = ((361/4)^(1/2)-3/2)/(1/2*2) or x = (-(361/4)^(1/2)-3/2)/(1/2*2)

x = 8 or x = -11

(x+11)*(x-8) = 0

(x+11)*(x-8) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x-8 )

x-8 = 0 // + 8

x = 8

x in { -11, 8 }

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