Steve Smith rues Australia's batting as hosts are beaten for second time in a row, this time at Brisbane
Morgan lauds bowlers after England win second ODI on back of Root's all-round effort
England turned in an impressive all-round team performance to beat Australia by four wickets in the second one-day international at the Gabba on Friday.
After restricting Australia to 270-9 from their 50 overs, the English cruised past the total with 5.4 overs to spare.
Australia trail the series 2-0 after losing the first match at Melbourne. The two teams will meet in the third one-dayer at Sydney on Sunday.
"I thought our bowlers were exceptional," England captain Eoin Morgan said. "On a really hot day they coped very well."
All of England's batsmen contributed to the run chase, which was always in control following a 117-run second wicket partnership between Jonny Bairstow (60) and Alex Hales (57).
Joss Buttler (42), Morgan (21) and Chris Woakes (39 not out) all made handy contributions, while Joe Root held the innings together with a measured 46 not out.
"We did enough to win," Morgan said, adding: "It's far from our best performance with the bat.
"I suppose that's exciting in a way. We're two-nil up in the series and we're still looking for a complete performance as a batting unit.
"Hopefully that comes in Sydney in Sunday."
The Australians went into the match without leg-spinner Adam Zampa, who proved expensive in the opening ODI in Melbourne on Sunday, opting for batsman Cameron White instead.
They also handed debuts to paceman Jhye Richardson and wicketkeeper Alex Carey.
However, the decision to go into the match without a recognised spinner proved costly on a pitch that helped the slow bowlers.
Finch, who blasted his 106 from 114 balls, helped Australia get away to a quick start alongside David Warner.
The burly opener looked like he was leading Australia to a score well past 300 but his dismissal, soon after that of Mitchell Marsh, ensured England were able to keep the Australian scoring under control.
Finch and Warner both dominated the English fast bowlers, who pitched too short on the Gabba wicket.
England captain Morgan turned to his spinners with immediate effect.
Moeen Ali had Warner caught at slip for 35, bringing Steve Smith to the crease.
The Australia captain struggled to 18 from 25 balls before part-time off-spinner Root trapped him lbw.
Root then enticed Travis Head into charging down the wicket, only to chip a return catch to the bowler to leave the Australians on 124-3.
Marsh and Finch consolidated but the scoring rate slowed as they struggled to get Moeen, Root and leg-spinner Adil Rashid away.
The Australians then lost three wickets for nine runs to allow the English to take control.
Debutant Carey made a quickfire 27 before he was brilliantly run out by Woakes, who used his football skills to kick the ball into the stumps as the batsman attempted a quick single.
Woakes then had Mitchell Starc caught in the deep before running out Andrew Tye on the last ball of the innings.
Smith conceded Australia were well beaten.
"We're not playing good enough one day cricket at the moment," he said. "We were in a good position at 3-209 with 11 overs to go and we only scored 60 with seven wickets in hand.
"That's not enough against a quality English batting line up."