Negative gearing is when the house is run at a loss and the loss taken against regular employment income.
That would be when the rent doesn't cover the mortgage interest + maintenance costs.
The benefit is that the dominant form of income in the investment is the capital gains, which is under your control to take at a later date when you'll pay a lower tax rate.
Wait, so you can get paid to renovate a place above what the market will pay in rent and deduct the difference from your taxes, but then eventually sell the palace later and make cap gains on that?
No, but you can claim interest and repair costs as a means of lowering your income and other taxes. Taken to an extreme there are some people who pay net zero tax on millions in net income (they don't mind the loss as there is no tax and the long term plan is to make a capital gain on sale).
The original idea was that people would lower the rent to make renting more affordable. This rarely ever happens in practice because tweaks to the law mean that you can claim interest and expenses without actually renting the property (set the rental at an unaffordable price point and leave the house vacant).
No, you can't deduct capital expenses like a renovation from your personal income, but you can deduct those capital expenses from the eventual capital gain so that the capital gains tax is only paid on the net profit.
The negative gearing only applies to ongoing expenses (e.g. maintenance, interest, depreciation) not to capital expenses.
Edit: from an American