First, add color(red)(2) to each side of the equation to isolate the x^2 term while keeping the equation balanced:
x^2/6 - 2 + color(red)(2) = 0 + color(red)(2)
x^2/6 - 0 = 2
x^2/6 = 2
Next, multiply each side of the equation by color(red)(6) to isolate x^2 while keeping the equation balanced:
color(red)(6) xx x^2/6 = color(red)(6) xx 2
cancel(color(red)(6)) xx x^2/color(red)(cancel(color(black)(6))) = 12
x^2 = 12
Now, take the square root of each side of the equation to solve for x while keeping the equation balanced. Remember, taking the square root of a number results in a positive and negative solution.
sqrt(x^2) = +-sqrt(12)
x = +-sqrt(12) = +-3.464 rounded to the nearest thousandth.
