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.
