6x×(x-5)=24

To solve the equation 6x*(x-5) = 24, you can follow these steps:

1. Start by expanding the equation on the left side of the equation using the distributive property:

   6x * x - 6x * 5 = 24

   Simplify the equation to:

   6x^2 - 30x = 24

2. Move all the terms to one side of the equation to set it equal to zero:

   6x^2 - 30x - 24 = 0

3. Divide the entire equation by 6 to simplify it:

   x^2 - 5x - 4 = 0

4. Now, we need to factor the equation. We are looking for two numbers that multiply to give us -4 and add up to -5. The numbers that satisfy this condition are -4 and 1:

   (x - 4)(x + 1) = 0

5. Set each factor equal to zero and solve for x:

   x - 4 = 0 or x + 1 = 0

   x = 4 or x = -1

So the solutions to the equation 6x*(x-5) = 24 are x = 4 and x = -1.