exam Maths Puzzle Numerical Ability

What three techniques can be used to solve a quadratic equation? Please could you demonstrate all three techniques using the following equation. Thanks!

12x^2 - 10x - 42 = 0

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2log7^x = 4 Exactly how many liters of pure alcohol must be added to 50 liters of a 25% alcohol solution to obtain a 45% solution?