To solve the equation 900 = (32+x)*x, we can start by expanding the right side of the equation:

900 = 32x + x^2

Next, we can rearrange the equation to form a quadratic equation:

x^2 + 32x - 900 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = 32, and c = -900. Substituting these values into the quadratic formula:

x = (-32 ± √(32^2 - 4(1)(-900))) / (2(1))

Simplifying further:

x = (-32 ± √(1024 + 3600)) / 2

x = (-32 ± √(4624)) / 2

x = (-32 ± 68) / 2

Now, we have two possible solutions:

x = (-32 + 68) / 2 = 36 / 2 = 18

x = (-32 - 68) / 2 = -100 / 2 = -50

Therefore, the solutions to the equation 900 = (32+x)*x are x = 18 and x = -50.