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D( x )
4*x+7 = 0
4*x+7 = 0
4*x+7 = 0
4*x+7 = 0 // - 7
4*x = -7 // : 4
x = -7/4
x in (-oo:-7/4) U (-7/4:+oo)
(5*x+2)/(4*x+7) = x // - x
(5*x+2)/(4*x+7)-x = 0
(5*x+2)/(4*x+7)+(-x*(4*x+7))/(4*x+7) = 0
5*x-x*(4*x+7)+2 = 0
2-4*x^2-2*x = 0
2-4*x^2-2*x = 0
2*(1-2*x^2-x) = 0
1-2*x^2-x = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(-2*2) or x = (1-9^(1/2))/(-2*2)
x = -1 or x = 1/2
2*(x+1)*(x-1/2) = 0
(2*(x+1)*(x-1/2))/(4*x+7) = 0
(2*(x+1)*(x-1/2))/(4*x+7) = 0 // * 4*x+7
2*(x+1)*(x-1/2) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
x in { -1, 1/2 }
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