Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3 –3 = –2x2 + 2x –3 = –2(x2 – x) –3 + = –2(x2 – x + ) = –2(x – )2 = (x – )2 the two solutions are .

The solutions are and

Step-by-step explanation:

we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

square root both sides

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step-by-step explanation: