* Use factoring to solve the quadratic equation. \[ x^{2}-x-56=0 \]

Step 1 ：The given equation is a quadratic equation in the form \(ax^{2} + bx + c = 0\). In this case, \(a = 1\), \(b = -1\), and \(c = -56\).

Step 2 ：To solve this equation, we can use factoring. Factoring is the process of breaking down an expression into a product of simpler expressions.

Step 3 ：We need to find two numbers that multiply to -56 (the value of c) and add to -1 (the value of b).

Step 4 ：The solutions to the equation are -7 and 8. These are the values of x for which the equation is true.

Step 5 ：Final Answer: The solutions to the equation \(x^{2}-x-56=0\) are \(\boxed{-7}\) and \(\boxed{8}\).