diff --git a/CHANGES.md b/CHANGES.md
index 8911b5cb..2077c78b 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -2,6 +2,7 @@
 
 ## python-markdown2 2.5.6 (not yet released)
 
+- [pull #732] Fix excessive CPU use in the inline HTML tokenizer on repeated unclosed tag fragments (#707)
 - [pull #730] Fix `tables` extra splitting multi-backtick code spans at a leading pipe and merging cells after a code span containing literal backticks.
 - [pull #729] Fix `tables` extra merging cells when a pipe directly follows a code span, as in compact rows like `|`-v`|verbose|`.
 - [pull #725] Fix `tables` extra dropping escaped pipes at the end of header and body rows.
diff --git a/lib/markdown2.py b/lib/markdown2.py
index b3c29847..fe726298 100755
--- a/lib/markdown2.py
+++ b/lib/markdown2.py
@@ -1171,7 +1171,24 @@ def _tag_is_closed(self, tag_name: str, text: str) -> bool:
             return True
 
         # check if number of open tags == number of close tags
-        if len(re.findall('<%s(?:.*?)>' % tag_name, text)) != text.count('</%s>' % tag_name):
+        # (a linear scan: `<tag.*?>` re-scans the rest of the line from every
+        # unclosed `<tag` and goes quadratic)
+        open_tag = '<%s' % tag_name
+        open_count = 0
+        line_end = -1
+        pos = text.find(open_tag)
+        while pos != -1:
+            if pos > line_end:
+                line_end = text.find('\n', pos)
+                if line_end == -1:
+                    line_end = len(text)
+            end = text.find('>', pos, line_end)
+            if end == -1:
+                pos = text.find(open_tag, line_end + 1)
+            else:
+                open_count += 1
+                pos = text.find(open_tag, end + 1)
+        if open_count != text.count('</%s>' % tag_name):
             return False
 
         # check that close tag position is AFTER open tag
@@ -1349,8 +1366,7 @@ def _run_span_gamut(self, text: str) -> str:
                 (?:\w+)         # tag name
                 (?:             # attributes
                     \s+                           # whitespace after tag
-                    (?:[^\t<>"'=/]+:)?
-                    [^<>"'=/]+=                   # attr name
+                    [^\s<>"'=/][^<>"'=/]*=        # attr name, can't start with whitespace
                     (?:"[^"]*?"|'[^']*?'|[^<>"'=/\s]+)  # value, quoted or unquoted. If unquoted, no spaces allowed
                 )*
                 \s*/?>
diff --git a/test/test_redos.py b/test/test_redos.py
index 3bea176f..2951ac2d 100644
--- a/test/test_redos.py
+++ b/test/test_redos.py
@@ -43,6 +43,21 @@ def issue_668():
     return 'a_b **x***y* c_d'
 
 
+def issue_707_unclosed_tags():
+    # https://github.com/trentm/python-markdown2/issues/707
+    return '<p m="1"' * 15000
+
+
+def issue_707_namespaced_attrs():
+    # https://github.com/trentm/python-markdown2/issues/707
+    return 'x <p' + ' a:b=1' * 40
+
+
+def issue_707_spaced_attrs():
+    # https://github.com/trentm/python-markdown2/issues/707
+    return 'x <p' + '  a=1' * 40
+
+
 # whack everything in a dict for easy lookup later on
 CASES = {
     fn.__name__: (fn, extras)
@@ -54,6 +69,9 @@ def issue_668():
         (issue493, None),
         (issue_633, None),
         (issue_668, ['code-friendly']),
+        (issue_707_unclosed_tags, None),
+        (issue_707_namespaced_attrs, None),
+        (issue_707_spaced_attrs, None),
     ]
 }