First, add color(red)(6) to each side of the equation to isolate the x term while keeping the equation balanced:
8n^2 - 6 + color(red)(6) = 306 + color(red)(6)
8n^2 - 0 = 312
8n^2 = 312
Next, divide each side of the equation by color(red)(8) to isolate x^2 while keeping the equation balanced:
(8n^2)/color(red)(8) = 312/color(red)(8)
(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.
