4q+2/7-6q=-3/q+22/7

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Solution for 4q+2/7-6q=-3/q+22/7 equation:


D( q )

q = 0

q = 0

q = 0

q in (-oo:0) U (0:+oo)

4*q-(6*q)+2/7 = 22/7-3/q // - 22/7-3/q

4*q-(6*q)-(-3/q)+2/7-(22/7) = 0

4*q-6*q+3*q^-1+2/7-22/7 = 0

3*q^-1-2*q^1-20/7*q^0 = 0

(3*q^0-2*q^2-20/7*q^1)/(q^1) = 0 // * q^2

q^1*(3*q^0-2*q^2-20/7*q^1) = 0

q^1

(-20/7)*q-2*q^2+3 = 0

(-20/7)*q-2*q^2+3 = 0

DELTA = (-20/7)^2-(-2*3*4)

DELTA = 1576/49

DELTA > 0

q = ((1576/49)^(1/2)-(-20/7))/(-2*2) or q = (-(-20/7)-(1576/49)^(1/2))/(-2*2)

q = ((1576/49)^(1/2)+20/7)/(-4) or q = (20/7-(1576/49)^(1/2))/(-4)

q in { ((1576/49)^(1/2)+20/7)/(-4), (20/7-(1576/49)^(1/2))/(-4)}

q in { ((1576/49)^(1/2)+20/7)/(-4), (20/7-(1576/49)^(1/2))/(-4) }

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