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3(4x+1)-5(3x-2)= 12x+3-15x+10= -3x+13 or 13-3x

Our first objective is to have all the x terms on one side of the equation and all the non x terms on the other side. The division of the left member of the equation by 2 is our first problem to solve. We...

First factorise (using a "farmer's field", will draw this on whiteboard):=> (X-3)(X-5) = 0Hence using the zero rule (one of the brackets must be equal to 0 if the product is 0),either X-3 = 0...

2x²+21x+40=0factors of 40=1&40, 2&20, 4&10, 5&85 & 8 are correct factors as 5 + 2*8 = 21(2x+5)(x+8)=0So, x = -8 & -2.5

Let x = 0.303030...
We do not want to deal with a recurring decimal, and so we want to cancel this out. The easiest way to do this is to multiply x by 10 and this means we multiple our decimal by 10 ...