2sin(2x)/2x

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Solution for 2sin(2x)/2x equation: 


x in (-oo:+oo)

x*((2*sin(2*x))/2) = 0

x = 0

(2*sin(2*x))/2 = 0

(2*sin(2*x))/2 = 0 // * 2

2*sin(2*x) = 0

sin(2*x) = 0

sin(2*x) = 0  <=>  2*x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

2*x-t_1 = 0

2*x-t_1 = 0 // + t_1

2*x = t_1 // : 2

x = t_1/2

x = pi*k_1/2 i k_1 należy do I

2*sin(2*x) = 0  <=>  2 = 0 or 2*sin(2*x) = 0  <=>  sin(2*x) = 0

x*((2*sin(2*x))/2) = 0  <=>  x = 0 or x*((2*sin(2*x))/2) = 0  <=>  (2*sin(2*x))/2 = 0

x in { 0, pi*k_1/2 }

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