book Maths Puzzle Numerical Ability

I have two problems i need help with. I need to solve these by using the quadratic equation.

1: 3x^2 - 2x = 15x - 0

2: x^2 - 3x - 23 = 5

Any help would be greatly appreciated

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book Other Question

1. 7(x-1)+5=-2(3-4x)+5
2. 2(3-z)=16-2(3+2z)
3. 8y-3(4-2y)=6(y+1)-2
4. 3+7(x+1)=6-(5+2x)
5. 7(a-1)+4=-(2a-4)+6a+2
6. -2(3-4z)+7z=13z-4
7. -4(2x-5)+3x=x-28
8. 5-(x+8)+6x=4(x+2 Please help explain and Solve?:
2 4
- (x+6)> - (x-8)
3 5

Express your answer in interval notation

Thank you!