2a-3a+5/7=(a-1)(a+1)/7

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Solution for 2a-3a+5/7=(a-1)(a+1)/7 equation:


a in (-oo:+oo)

2*a-(3*a)+5/7 = ((a-1)*(a+1))/7 // - ((a-1)*(a+1))/7

2*a-(((a-1)*(a+1))/7)-(3*a)+5/7 = 0

2*a-(((a-1)*(a+1))/7)-3*a+5/7 = 0

(-1*(a-1)*(a+1))/7+2*a-3*a+5/7 = 0

(-1*(a-1)*(a+1))/7+(2*7*a)/7+(-3*7*a)/7+5/7 = 0

2*7*a-1*(a-1)*(a+1)-3*7*a+5 = 0

14*a-a^2-21*a+1+5 = 0

1-a^2-7*a+5 = 0

6-a^2-7*a = 0

6-a^2-7*a = 0

6-a^2-7*a = 0

DELTA = (-7)^2-(-1*4*6)

DELTA = 73

DELTA > 0

a = (73^(1/2)+7)/(-1*2) or a = (7-73^(1/2))/(-1*2)

a = (73^(1/2)+7)/(-2) or a = (7-73^(1/2))/(-2)

(a-((73^(1/2)+7)/(-2)))*(a-((7-73^(1/2))/(-2))) = 0

((a-((73^(1/2)+7)/(-2)))*(a-((7-73^(1/2))/(-2))))/7 = 0

((a-((73^(1/2)+7)/(-2)))*(a-((7-73^(1/2))/(-2))))/7 = 0 // * 7

(a-((73^(1/2)+7)/(-2)))*(a-((7-73^(1/2))/(-2))) = 0

( a-((7-73^(1/2))/(-2)) )

a-((7-73^(1/2))/(-2)) = 0 // + (7-73^(1/2))/(-2)

a = (7-73^(1/2))/(-2)

( a-((73^(1/2)+7)/(-2)) )

a-((73^(1/2)+7)/(-2)) = 0 // + (73^(1/2)+7)/(-2)

a = (73^(1/2)+7)/(-2)

a in { (7-73^(1/2))/(-2), (73^(1/2)+7)/(-2) }

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