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

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


x in (-oo:+oo)

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

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

p-(x*(x+3)) = 0

p-1*x*(x+3) = 0

p-1*x*(x+3) = 0

p-x^2-3*x = 0

p-x^2-3*x = 0

p-x^2-3*x = 0

DELTA = (-3)^2-(-1*4*p)

DELTA = 4*p+9

4*p+9 = 0

4*p+9 = 0 // - 9

4*p = -9 // : 4

p = -9/4

DELTA = 0  <=>  t_3 = -9/4

x = 3/(-1*2) i p = -9/4

x = -3/2 i p = -9/4

( x = ((4*p+9)^(1/2)+3)/(-1*2) or x = (3-(4*p+9)^(1/2))/(-1*2) ) i p > -9/4

( x = ((4*p+9)^(1/2)+3)/(-2) or x = (3-(4*p+9)^(1/2))/(-2) ) i p > -9/4

p-(-9/4) > 0

p+9/4 > 0

p+9/4 > 0 // - 9/4

p > -9/4

x in { -3/2, ((4*p+9)^(1/2)+3)/(-2), (3-(4*p+9)^(1/2))/(-2) }

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