1/2(x+2)(3x-14)=(x+2)(x+2)

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Solution for 1/2(x+2)(3x-14)=(x+2)(x+2) equation: 


x in (-oo:+oo)

(1/2)*(x+2)*(3*x-14) = (x+2)*(x+2) // - (x+2)*(x+2)

(1/2)*(x+2)*(3*x-14)-((x+2)*(x+2)) = 0

(1/2)*(x+2)*(3*x-14)-(x+2)^2 = 0

1/2*(x+2)*(3*x-14)-1*(x+2)^2 = 0

1/2*(x+2)*(3*x-14)-1*(x+2)^2 = 0

1/2*x^2-8*x-18 = 0

1/2*x^2-8*x-18 = 0

1/2*x^2-8*x-18 = 0

DELTA = (-8)^2-(-18*1/2*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+8)/(1/2*2) or x = (8-100^(1/2))/(1/2*2)

x = 18 or x = -2

(x+2)*(x-18) = 0

(x+2)*(x-18) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-18 )

x-18 = 0 // + 18

x = 18

x in { -2, 18 }

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