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Factorise means to put into brackets and solve means to find values of x that make the equation true.We need to find two numbers that multiply to make 15 and add together to make -8. They both need to be ...

3x^2+3x-2x-2
3x(x+1)-2(x+1)
(3x-2)(x+1)

It is better to think of it as substituting one equation into another, rather than thinking of it as ‘making it equal to zero’. Say you have a quadratic equation y = x^2 - x - 6 and you want to find it’s ...

If you look at a set of x,y-axes, and imagine any curve going through both axes (you don't have to be able to imagine what this graph of f looks like just yet). Now imagine the part of the graph that cros...

x+y=2 (1) x²+2y=12 (2) As we are dealing with x² we’re going to have to use substitution to solve this set of simultaneous equations. From the first equation, we can rearrange to mak...