Solve for all values of xx by factoring.x, squared, minus, 60, equals, 4, xx 2 −60=4x

Sure, let's solve the equation step by step:

1. First, rewrite the equation to have 0 on one side:

   x^2 - 4x - 60 = 0

2. Now, we need to factor the equation. We're looking for two numbers that multiply to -60 and add to -4. Those numbers are -10 and 6.

   So, we can rewrite the equation as:

   (x - 10)(x + 6) = 0

3. Now, we set each factor equal to zero and solve for x:

   x - 10 = 0 => x = 10

   x + 6 = 0 => x = -6

So, the solutions to the equation x^2 - 4x - 60 = 0 are x = 10 and x = -6.