First, add color(red)(5) to each side of the equation to isolate the x term while keeping the equation balanced:
2x^2 - 5 + color(red)(5) = 93 + color(red)(5)
2x^2 - 0 = 98
2x^2 = 98
Now, divide each side of the equation by color(red)(2) to isolate the x^2 while keeping the equation balanced:
(2x^2)/color(red)(2) = 98/color(red)(2)
(color(red)(cancel(color(black)(2)))x^2)/cancel(color(red)(2)) = 49
x^2 = 49
Now, take the square root of each side of the equation to solve for x. Remember, the square root of a number produces a positive and negative result:
sqrt(x^2) = +-sqrt(49)
x = +-7
x = {-7, 7}
