((2x-14)/(x^2-49))*((x^2+7x)/4(x-x^2))

Solution for ((2x-14)/(x^2-49))*((x^2+7x)/4(x-x^2)) equation:

D( x )

x^2-49 = 0

x^2-49 = 0

x^2-49 = 0

1*x^2 = 49 // : 1

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x in (-oo:-7) U (-7:7) U (7:+oo)

((2*x-14)/(x^2-49))*((x^2+7*x)/4)*(x-x^2) = 0

((2*x-14)*(x^2+7*x)*(x-x^2))/(4*(x^2-49)) = 0

x^2+7*x = 0

x*(x+7) = 0

x+7 = 0 // - 7

x = -7

x*(x+7) = 0

x-x^2 = 0

x*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x*(x-1) = 0

(x^2*(2*x-14)*(x+7)*(x-1))/(4*(x^2-49)) = 0

( 2*x-14 )

2*x-14 = 0 // + 14

2*x = 14 // : 2

x = 14/2

x = 7

( x+7 )

x+7 = 0 // - 7

x = -7

( x-1 )

x-1 = 0 // + 1

x = 1

( x )

x = 0

x in { 7} 

x in { -7} 

x in { 1, 0, 0 }