No Time Limit Consider the following quadratic equation: \[ x^{2}=25 \] Step 2 of 2: Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary. Answer How to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts \[ x=\square x=\square \]

To solve the equation \(x^{2} = 25\) by factoring, we first rewrite it as \(x^{2} - 25 = 0\). This is a difference of squares, which can be factored as \((x - 5)(x + 5) = 0\). Setting each factor to zero, we find \(x - 5 = 0\) or \(x + 5 = 0\). Thus, the solutions are \(x = 5\) and \(x = -5\). So the final answer is: \(x = 5\) \(x = -5\)