Book Maths Puzzle Algebra

How do we solve 14x^2-3x????

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Book Other Question

I have bean asked to consider in detail the question x2 =-5x-6
I know how to solve the equation, however I have a feeling I could be asked why you put it equal to zero? Could you please tell me the reason along with any answers to any other questions you think I may be asked.?It's for an interview for teacher training. Thankyou Factor the following polynomials:
1. 3+x^2-13x
2. x^2+5-7x
3. 9-17y+8y^2
4. 4T^2-7-3T
5. x^2-100
6. 125+R^3