Question 64819
{{{x^2/2+2/7=-2x/7}}}
Multiply both sides by 14 (to remove all fractions)
{{{7x^2+4=-4x}}}
{{{7x^2+4x+4=0}}}
Using the quadratic formula the discriminant {{{b^2-4ac=4^2-4*7*4=16-112=-96}}}is negative so the equation has no real roots.