lie is solving the quadratic equation by completing the square. 3x² + 18x - 8 = 0 3x² + 18x = 8 what should…

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.

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.

Answer

Explanation:

Step1: Recall completing - the - square steps

When solving a quadratic equation (ax^{2}+bx + c = 0) ((a\neq0)) by completing the square, if (a\neq1), we first factor out (a) from the first - two terms. Given the equation (3x^{2}+18x - 8=0), which is rewritten as (3x^{2}+18x = 8). Here (a = 3), (b = 18), (c=-8).

Step2: Identify the next step

The next step is to factor 3 out of the variable terms on the left - hand side of the equation (3x^{2}+18x = 8). We get (3(x^{2}+6x)=8).

Answer:

Factor 3 out of the variable terms.