Noah Hanifin scored, and Scott Darling made 19 saves for Carolina (27-25-10), which has lost five straight (0-4-1). The Hurricanes trail the Blue Jackets by three points for the second wild card into the playoffs from the Eastern Conference.
Carolina was outscored 9-2 in back-to-back losses to the Pittsburgh Penguins and Detroit.
"We've got to find a way to score more goals," Hanifin said. "We were disappointed about last night, and I thought we were able to get off to a good start, but we've got to start putting more chances into the net."
Justin Faulk appeared to give the Hurricanes the lead on the power play at 8:09 of the first period, but after a video review, it was determined he kicked the puck into the net.
"We got traffic and rebounds on that power play, but the goal didn't count, and the power play wasn't good the rest of the night," Faulk said. "It hasn't been very good for a while."
DeKeyser gave the Red Wings a 1-0 lead at 15:41 of the first period, skating in from the blue line and shooting off Darling's glove.
Hanifin tied it 1-1 at 12:18 of the second period, taking a pass from Victor Rask and beating Howard with a wrist shot from the left face-off circle.