So if you’re given a quadratic equation, and you need to solve it, follow the following steps:

·
Arrange it in the **standard** quadratic equation form.

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· Check whether it can be simplified by dividing through by a number.

· Try and solve it by factorising it – but don’t spend too long – not all quadratic equations can be solved this way.

· If necessary, apply the quadratic formula to solve it.

· Check which solutions make sense, and ignore the ones that don’t – be careful, negative solutions can make sense such as in a question about temperature.

If you can get good enough at using the quadratic formula to solve quadratic equations, it is better to just use it straight away – don’t bother trying to factorise the equation, unless you’re specifically asked to.