y=3/4(x+8)(x+12)

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Solution for y=3/4(x+8)(x+12) equation: 


x in (-oo:+oo)

y = (3/4)*(x+8)*(x+12) // - (3/4)*(x+8)*(x+12)

y-((3/4)*(x+8)*(x+12)) = 0

(-3/4)*(x+8)*(x+12)+y = 0

y-3/4*(x+8)*(x+12) = 0

y-3/4*(x+8)*(x+12) = 0

y-3/4*x^2-15*x-72 = 0

y-3/4*x^2-15*x-72 = 0

y-3/4*x^2-15*x-72 = 0

DELTA = (-15)^2-(-3/4*4*(y-72))

DELTA = 3*(y-72)+225

3*(y-72)+225 = 0

3*(y-72)+225 = 0

3*y+9 = 0

3*y+9 = 0

3*y+9 = 0 // - 9

3*y = -9 // : 3

y = -9/3

y = -3

DELTA = 0  <=>  t_3 = -3

x = 15/(-3/4*2) i y = -3

x = -10 i y = -3

( x = ((3*(y-72)+225)^(1/2)+15)/(-3/4*2) or x = (15-(3*(y-72)+225)^(1/2))/(-3/4*2) ) i y > -3

( x = -2/3*((3*(y-72)+225)^(1/2)+15) or x = -2/3*(15-(3*(y-72)+225)^(1/2)) ) i y > -3

y+3 > 0

y+3 > 0 // - 3

y > -3

x in { -10, -2/3*((3*(y-72)+225)^(1/2)+15), -2/3*(15-(3*(y-72)+225)^(1/2)) }

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