Gio is solving the quadratic equation by completing the square.

5x2 + 15x – 4 = 0

what should gio do first?

isolate the constant.
factor 5 out of the variable terms.
isolate the variable x.
add 9 to both sides of the equation.

The correct answer is the first option which is to isolate the constant. 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. 
5x2 + 15x  = 4

2. Make sure that the coefficient of the x^2 term is 1.
5(x^2 + 3x)  = 4

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 + 3x + 9/4)  = 4 +45/4

5(x+3/2)^2 = 61/4

Isolate the constant

Step-by-step explanation:

answer by yourhope:

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