1/2(h+8)(h)=42

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Solution for 1/2(h+8)(h)=42 equation: 


h in (-oo:+oo)

(1/2)*h*(h+8) = 42 // - 42

(1/2)*h*(h+8)-42 = 0

1/2*h*(h+8)-42 = 0

1/2*h*(h+8)-42 = 0

1/2*h^2+4*h-42 = 0

1/2*h^2+4*h-42 = 0

1/2*h^2+4*h-42 = 0

DELTA = 4^2-(-42*1/2*4)

DELTA = 100

DELTA > 0

h = (100^(1/2)-4)/(1/2*2) or h = (-100^(1/2)-4)/(1/2*2)

h = 6 or h = -14

(h+14)*(h-6) = 0

(h+14)*(h-6) = 0

( h+14 )

h+14 = 0 // - 14

h = -14

( h-6 )

h-6 = 0 // + 6

h = 6

h in { -14, 6 }

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