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Whenever faced with a quadratic equation in the form of AX^2 + BX + C = 0, the first thing you do is factorise it, which will look something like this: (X )(X ) = 0.You can see from this that when you mul...

(x-5)(2x-3)= 2x² -3x-10x+15

= 2x² -13x + 15

If we know that y is proportional to x² then we using the given values we can write 75= 5² --> 75=25, however this is obviously not true but all that remains is to multiply the 5<...

The objective of the question is to find an answer to x = ?, where ? is a number.

Start by 'moving' all the x's to one side of the equals sign and all the numbers to the other. This can be done by ...

Firstly, expand out the first bracket -    4x - 8 - 2(3 - 5x)    
Then the second bracket (remember a minus x a minus = a positive) -     4x - 8 - 6 + 10x

Then finally group the like terms to...