1/2(x)(x+3)=20

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Solution for 1/2(x)(x+3)=20 equation: 


x in (-oo:+oo)

(1/2)*x*(x+3) = 20 // - 20

(1/2)*x*(x+3)-20 = 0

1/2*x*(x+3)-20 = 0

1/2*x*(x+3)-20 = 0

1/2*x^2+3/2*x-20 = 0

1/2*x^2+3/2*x-20 = 0

1/2*x^2+3/2*x-20 = 0

DELTA = (3/2)^2-(-20*1/2*4)

DELTA = 169/4

DELTA > 0

x = ((169/4)^(1/2)-3/2)/(1/2*2) or x = (-(169/4)^(1/2)-3/2)/(1/2*2)

x = 5 or x = -8

(x+8)*(x-5) = 0

(x+8)*(x-5) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -8, 5 }

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