jQuery - search based on val()

Question

//click element bring to specific link
$("button.news").click(function(){
  window.location ="news?combine=&field_category_value=news#main-content";
  return false;
});
 
$(".header-search .btn-header-search").click(function() {
  var searchterm = $(".header-search input").val();
  if (searchterm != "") {
    window.location = "/projects?keyword=" + searchterm;
 }