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We first notice it's a quadratic equation in x so we want to make one side of the equation equal to 0.By adding 15 to both sides we get : x² + 8x + 15 = 0We then look for two numbers which mul...

Completing the square is a method for rewriting a quadratic expression, and can be useful in identifying the minimum value of the expression. The aim is to end up with an expression which looks like c((x+...

Equal out the x terms so 12x+8y=32 and 9y+12x=33Then subtract the first equation from the secondThis gives y=1Put this value into one of the equations so 12x+8=32Solve the equation giving x as 2.

The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gi...

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...