(4x^2+28x+21)/(x+6)

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Solution for (4x^2+28x+21)/(x+6) equation:


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(4*x^2+28*x+21)/(x+6) = 0

4*x^2+28*x+21 = 0

4*x^2+28*x+21 = 0

DELTA = 28^2-(4*4*21)

DELTA = 448

DELTA > 0

x = (448^(1/2)-28)/(2*4) or x = (-448^(1/2)-28)/(2*4)

x = (8*7^(1/2)-28)/8 or x = (-8*7^(1/2)-28)/8

(x-((-8*7^(1/2)-28)/8))*(x-((8*7^(1/2)-28)/8)) = 0

((x-((-8*7^(1/2)-28)/8))*(x-((8*7^(1/2)-28)/8)))/(x+6) = 0

( x-((-8*7^(1/2)-28)/8) )

x-((-8*7^(1/2)-28)/8) = 0 // + (-8*7^(1/2)-28)/8

x = (-8*7^(1/2)-28)/8

( x-((8*7^(1/2)-28)/8) )

x-((8*7^(1/2)-28)/8) = 0 // + (8*7^(1/2)-28)/8

x = (8*7^(1/2)-28)/8

x in { (-8*7^(1/2)-28)/8, (8*7^(1/2)-28)/8 }

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