Which is the best step to do next to solve the equation by

completing the square?

The first few steps in solving the quadratic equation 5x2 +

27x = 14 - 13x by completing the square are shown.

5x2 + 27x = 14 - 13x

5x2 + 40x = 14

5 (x2 + 8x) = 14

5 (x2 + 8x + 16) = 30

5 (x2 + 8x + 16) = 94

5 (x2 + 8x + 4) = 18

5 (x2 + 8x + 4) = 34

Answer:The correct answer among the choices given is option 2.

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.

5x^2 + 27x + 13x = 14

5x^2 + 40x = 14

2. Make sure that the coefficient of the x^2 term is 1.

5 (x^2 + 8x) = 14

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

5 (x^2 + 8x + 16) = 14 + 80

5 (x+4) ^2=94

5 (x2 + 8x + 16) = 94

Step-by-step explanation:

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