6x×(x-5)=24

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

Step 1: Expand the expression on the left side of the equation by multiplying 6x by (x - 5):

6x × (x - 5) = 6x × x - 6x × 5 = 6x^2 - 30x

Step 2: Rewrite the equation with the expanded expression:

6x^2 - 30x = 24

Step 3: Move all terms to one side of the equation to set it equal to zero:

6x^2 - 30x - 24 = 0

Step 4: Divide the entire equation by 6 to simplify it:

x^2 - 5x - 4 = 0

Step 5: Factorize the quadratic equation or use the quadratic formula to find the values of x. In this case, let's factorize it:

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

Step 6: 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 are x = 4 and x = -1.