1/2(x)(3x+3)=84

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Solution for 1/2(x)(3x+3)=84 equation: 


x in (-oo:+oo)

(1/2)*x*(3*x+3) = 84 // - 84

(1/2)*x*(3*x+3)-84 = 0

1/2*x*(3*x+3)-84 = 0

1/2*x*(3*x+3)-84 = 0

3/2*x^2+3/2*x-84 = 0

3/2*x^2+3/2*x-84 = 0

3*(1/2*x^2+1/2*x-28) = 0

1/2*x^2+1/2*x-28 = 0

DELTA = (1/2)^2-(-28*1/2*4)

DELTA = 225/4

DELTA > 0

x = ((225/4)^(1/2)-1/2)/(1/2*2) or x = (-(225/4)^(1/2)-1/2)/(1/2*2)

x = 7 or x = -8

3*(x+8)*(x-7) = 0

3*(x+8)*(x-7) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -8, 7 }

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