Settings Router Refactor: Migrate to settings.Route.navigateTo calls.

chrome/browser/resources/settings/search_page/search_page.js

 // Copyright 2015 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 /**
  * @fileoverview
  * 'settings-search-page' is the settings page containing search settings.
  */
 Polymer({
   is: 'settings-search-page',
@@ skipping 29 matching lines @@
   ready: function() {
     var updateSearchEngines = function(searchEngines) {
       this.set('searchEngines_', searchEngines.defaults);
     }.bind(this);
     this.browserProxy_.getSearchEnginesList().then(updateSearchEngines);
     cr.addWebUIListener('search-engines-changed', updateSearchEngines);
   },
 
   /** @private */
   onManageSearchEnginesTap_: function() {
-    this.$.pages.setSubpageChain(['search-engines']);
+    settings.navigateTo(settings.Route.SEARCH_ENGINES);
   },
 
   /** @private */
   onIronSelect_: function() {
     var searchEngine = this.searchEngines_[this.$$('paper-listbox').selected];
     if (searchEngine.default) {
       // If the selected search engine is already marked as the default one,
       // this change originated in some other tab, and nothing should be done
       // here.
       return;
     }
 
     // Otherwise, this change originated by an explicit user action in this tab.
     // Submit the default search engine change.
     this.browserProxy_.setDefaultSearchEngine(searchEngine.modelIndex);
   },
 
   /**
    * @return {number}
    * @private
    */
   getSelectedSearchEngineIndex_: function() {
     return this.searchEngines_.findIndex(function(searchEngine) {
       return searchEngine.default;
     });
   },
 });