book Maths Puzzle Numerical Ability

Can you explain how to solve this in detail? Thank you.

Factor completely:
4x2 - 36y2

Factor completely:
3x2 - 2x - 8

Factor completely:
24x2 + 10x - 4

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book Other Question

100=500/2+d
find d
Can someone please explain how to solve quadratic inequalitities using sign charts. I has me a little confused and I have about 30 problems to do. Here is an example of one.

solve (x-5)(x+2)>0 using a sign chart.

Thanks Caroline