X(x-1)=72

To solve the equation x(x-1) = 72, we can first write it in standard form:

x^2 - x = 72

Next, we want to move all terms to one side of the equation to set it equal to zero:

x^2 - x - 72 = 0

Now, we can try to factorize the equation. In this case, the factors of -72 that add up to -1 are -9 and 8:

(x - 9)(x + 8) = 0

To find the solutions, we set each factor equal to zero and solve for x:

x - 9 = 0 --> x = 9

x + 8 = 0 --> x = -8

So, the solutions to the equation x(x-1) = 72 are x = 9 and x = -8.