Final answer:
To solve the equation (x + 4)(x - 9) = 4x, expand and rearrange the terms. Then solve the quadratic equation by factoring or using the quadratic formula.
Step-by-step explanation:
To solve the equation (x + 4)(x - 9) = 4x, we can expand the left side of the equation and then rearrange the terms:
x^2 - 5x - 36 = 4x
Next, we can move all the terms to one side of the equation:
x^2 - 9x - 36 = 0
Finally, we can solve this quadratic equation by factoring or using the quadratic formula to find the values of x.