900=4225-130d+d^2

Solution for 900=4225-130d+d^2 equation:

Simplifying
900 = 4225 + -130d + d2

Solving
900 = 4225 + -130d + d2

Solving for variable 'd'.

Combine like terms: 900 + -4225 = -3325
-3325 + 130d + -1d2 = 4225 + -130d + d2 + -4225 + 130d + -1d2

Reorder the terms:
-3325 + 130d + -1d2 = 4225 + -4225 + -130d + 130d + d2 + -1d2

Combine like terms: 4225 + -4225 = 0
-3325 + 130d + -1d2 = 0 + -130d + 130d + d2 + -1d2
-3325 + 130d + -1d2 = -130d + 130d + d2 + -1d2

Combine like terms: -130d + 130d = 0
-3325 + 130d + -1d2 = 0 + d2 + -1d2
-3325 + 130d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-3325 + 130d + -1d2 = 0

Factor a trinomial.
(-95 + d)(35 + -1d) = 0

Subproblem 1
Set the factor '(-95 + d)' equal to zero and attempt to solve:

Simplifying
-95 + d = 0

Solving
-95 + d = 0

Move all terms containing d to the left, all other terms to the right.

Add '95' to each side of the equation.
-95 + 95 + d = 0 + 95

Combine like terms: -95 + 95 = 0
0 + d = 0 + 95
d = 0 + 95

Combine like terms: 0 + 95 = 95
d = 95

Simplifying
d = 95
Subproblem 2
Set the factor '(35 + -1d)' equal to zero and attempt to solve:

Simplifying
35 + -1d = 0

Solving
35 + -1d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + -1d = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1d = 0 + -35
-1d = 0 + -35

Combine like terms: 0 + -35 = -35
-1d = -35

Divide each side by '-1'.
d = 35

Simplifying
d = 35
Solution
d = {95, 35}