bstitute \( x \) with \( 5 \) in the equation, we get \( 15 \) on
  both sides, so it confirms that this solution holds good.
</p>
<p>
  However, \( x = 0 \) is also a solution of this equation.  If we
  substitute \( x \) with \( 0 \) in the equation, we get \( 0 \) on
  both sides.  But we did not get this solution when we solved the
  equation in the flawed manner above.  Why did we lose this solution?
</p>
<p>
  We lost this solution in the step where we divided both sides by \(
  x \).  In doing so, we