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There is an acronym which mathematicians use called BODMAS. It stands for:

Brackets Of Division Multiplication Addition Subtraction.

This tells us the order in which to perform calculations. As your typed question has not specified (by using brackets) that we must deviate from the order, we must assume that your question looks like:

150 = d2 / 25 + 4d - 250.

Therefore

d2 / 25 + 4d = 150 + 250

d2 / 25 + 4d = 400

d2 + 100d = 10,000

d2 + 100d - 10,000 = 0

We have now written this equation in the form of a quadratic.

This will prove difficult to factor and so the easiest way to now solve this is to use the quadratic formula which is:

For Ax2 + Bx + C = 0 then

x = (-b plus or minus (b2 - 4ac)1/2) / 2a

Substituting in our values for d2 + 100d - 10,000 = 0 gives us:

d = (-100 plus or minus (1002 - 4 * 1 * -10,000)1/2 / 2 * 1

d = (-100 plus or minus 50,0001/2) / 2

d = 61.803 (to 3 decimal places) & -161.803(to 3 decimal places).

(Note 1: x1/2 means "the square root of x".)

(Note 2: Should your question, for example, look like 150 = d2 / (25 + 4d - 250) then your answer will be different, but you have not specified it does and so we must assume it is as solved above).

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12y ago
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Q: What is the answer to 150 equals d squared divided by 25 plus 4d minus 250?
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