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).
2
All the time
It simplifies to 5a+4 !
4x + 20
x - 5
2
All the time
#
It simplifies to 5a+4 !
x-8
x - 3
7x + 8
4x + 20
x - 5
x = plus or minus 6.
44
What is 50 minus 30 divided 6 divided 9 plus 15 equals