Lie is solving the quadratic equation by completing the square.

3x2 + 18x - 8 = 0

3x2 + 18x = 8

What should Lie do next?

Write the polynomial as a binomial squared.

Factor 3 out of the variable terms.

Isolate the variable x.

Add 8 to both sides of the equation.

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.

3x2 + 18x = 8

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

3 (x2 + 6x) = 8

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.

3 (x2 + 6x + 9) = 8 + 27

3 (x+3) ^2 = 35