First, add color(red)(6)6 to each side of the equation to isolate the xx term while keeping the equation balanced:
8n^2 - 6 + color(red)(6) = 306 + color(red)(6)8n2−6+6=306+6
8n^2 - 0 = 3128n2−0=312
8n^2 = 3128n2=312
Next, divide each side of the equation by color(red)(8)8 to isolate x^2x2 while keeping the equation balanced:
(8n^2)/color(red)(8) = 312/color(red)(8)8n28=3128
(color(red)(cancel(color(black)(8)))n^2)/cancel(color(red)(8)) = 39
n^2 = 39
Now, take the square root of each side of the equation to solve for x while keeping the equation balanced. Remember, when taking the square root of a number there is a negative and positive result:
sqrt(n^2) = +-sqrt(39)
n = +-sqrt(39) = +-6.245 rounded to the nearest thousandth.
