How to solve quadratic equations step by step

I need help solving quadratic equations. I know the formula x = frac{-b pm sqrt{b^2 – 4ac}}{2a}, but I want a step-by-step explanation with an example.

For example, solve: 2x^2 + 5x – 3 = 0.

Please explain each step clearly, including how to:

  • Identify a, b, and c
  • Calculate the discriminant (b^2 – 4ac)
  • Apply the quadratic formula
  • Find both solutions

I also want tips to avoid mistakes and understand why each step works.

Requirements:

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