d*d+20d+11=200

Solution for d*d+20d+11=200 equation:

Simplifying
d * d + 20d + 11 = 200

Multiply d * d
d2 + 20d + 11 = 200

Reorder the terms:
11 + 20d + d2 = 200

Solving
11 + 20d + d2 = 200

Solving for variable 'd'.

Reorder the terms:
11 + -200 + 20d + d2 = 200 + -200

Combine like terms: 11 + -200 = -189
-189 + 20d + d2 = 200 + -200

Combine like terms: 200 + -200 = 0
-189 + 20d + d2 = 0

Factor a trinomial.
(-27 + -1d)(7 + -1d) = 0

Subproblem 1
Set the factor '(-27 + -1d)' equal to zero and attempt to solve:

Simplifying
-27 + -1d = 0

Solving
-27 + -1d = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1d = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1d = 0 + 27
-1d = 0 + 27

Combine like terms: 0 + 27 = 27
-1d = 27

Divide each side by '-1'.
d = -27

Simplifying
d = -27
Subproblem 2
Set the factor '(7 + -1d)' equal to zero and attempt to solve:

Simplifying
7 + -1d = 0

Solving
7 + -1d = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1d = 0 + -7
-1d = 0 + -7

Combine like terms: 0 + -7 = -7
-1d = -7

Divide each side by '-1'.
d = 7

Simplifying
d = 7
Solution
d = {-27, 7}