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x in (-oo:+oo)
((10/7)*x-14)^2 = 20 // - 20
((10/7)*x-14)^2-20 = 0
(10/7*x-14)^2-20 = 0
(10/7*x-14)^2-20 = 0
100/49*x^2-40*x+176 = 0
100/49*x^2-40*x+176 = 0
4*(25/49*x^2-10*x+44) = 0
25/49*x^2-10*x+44 = 0
DELTA = (-10)^2-(25/49*4*44)
DELTA = 500/49
DELTA > 0
x = ((500/49)^(1/2)+10)/(25/49*2) or x = (10-(500/49)^(1/2))/(25/49*2)
x = 49/50*((500/49)^(1/2)+10) or x = 49/50*(10-(500/49)^(1/2))
4*(x-49/50*(10-(500/49)^(1/2)))*(x-49/50*((500/49)^(1/2)+10)) = 0
4*(x-49/50*(10-(500/49)^(1/2)))*(x-49/50*((500/49)^(1/2)+10)) = 0
( 4 )
4 = 0
x belongs to the empty set
( x-49/50*((500/49)^(1/2)+10) )
x-49/50*((500/49)^(1/2)+10) = 0 // + -49/50*((500/49)^(1/2)+10)
x = -(-49/50*((500/49)^(1/2)+10))
x = 49/50*((500/49)^(1/2)+10)
( x-49/50*(10-(500/49)^(1/2)) )
x-49/50*(10-(500/49)^(1/2)) = 0 // + -49/50*(10-(500/49)^(1/2))
x = -(-49/50*(10-(500/49)^(1/2)))
x = 49/50*(10-(500/49)^(1/2))
x in { 49/50*((500/49)^(1/2)+10), 49/50*(10-(500/49)^(1/2)) }
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