(2a^5)/5=(a^7)/20

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Solution for (2a^5)/5=(a^7)/20 equation:


a in (-oo:+oo)

(2*a^5)/5 = (a^7)/20 // - (a^7)/20

(2*a^5)/5-((a^7)/20) = 0

2/5*a^5-1/20*a^7 = 0

1/5*a^5*(2-1/4*a^2) = 0

-1/4*a^2 = -2 // : -1/4

a^2 = 8

a^2 = 8 // ^ 1/2

abs(a) = 2*2^(1/2)

a = 2*2^(1/2) or a = -(2*2^(1/2))

(a^5)/5 = 0

1/5*a^5 = 0 // : 1/5

a^5 = 0

a = 0

a in { 2*2^(1/2), -(2*2^(1/2)), 0 }

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