x 2 +7x−24=5x

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

1. First, let's simplify the equation by bringing all terms to one side. We can subtract 5x from both sides to get:

   x^2 + 7x - 5x - 24 = 0

2. This simplifies to:

   x^2 + 2x - 24 = 0

3. Now, we can factor the quadratic equation:

   (x - 4)(x + 6) = 0

4. Setting each factor equal to zero gives the solutions to the equation:

   x - 4 = 0 => x = 4

   x + 6 = 0 => x = -6

So, the solutions to the equation x^2 + 7x - 24 = 5x are x = 4 and x = -6.