d^2+9d-2=20

Solution for d^2+9d-2=20 equation:

Simplifying
d2 + 9d + -2 = 20

Reorder the terms:
-2 + 9d + d2 = 20

Solving
-2 + 9d + d2 = 20

Solving for variable 'd'.

Reorder the terms:
-2 + -20 + 9d + d2 = 20 + -20

Combine like terms: -2 + -20 = -22
-22 + 9d + d2 = 20 + -20

Combine like terms: 20 + -20 = 0
-22 + 9d + d2 = 0

Factor a trinomial.
(-11 + -1d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-11 + -1d)' equal to zero and attempt to solve:

Simplifying
-11 + -1d = 0

Solving
-11 + -1d = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1d = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1d = 0 + 11
-1d = 0 + 11

Combine like terms: 0 + 11 = 11
-1d = 11

Divide each side by '-1'.
d = -11

Simplifying
d = -11
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {-11, 2}