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Answer

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Step 1
I understand that you would like me to solve a homework problem and provide a clear, step-by-step solution using proper LaTeX notation.

Solve the quadratic equation $$2x^2 - 5x + 3 = 0$$.
However, since no specific problem has been provided, I will demonstrate with an example problem. Let's consider the following problem:

Step 2
: Identify the coefficients a, b, and c.

a = 2, \quad b = -5, \quad c = 3
In the given quadratic equation, we have:

Final Answer

The solutions for the equation 2x^2 - 5x + 3 = 0 are x_{1} = \frac{3}{2} and x_{2} = 1.