d^2+9d=5d+5

Solution for d^2+9d=5d+5 equation:

Simplifying
d2 + 9d = 5d + 5

Reorder the terms:
9d + d2 = 5d + 5

Reorder the terms:
9d + d2 = 5 + 5d

Solving
9d + d2 = 5 + 5d

Solving for variable 'd'.

Reorder the terms:
-5 + 9d + -5d + d2 = 5 + 5d + -5 + -5d

Combine like terms: 9d + -5d = 4d
-5 + 4d + d2 = 5 + 5d + -5 + -5d

Reorder the terms:
-5 + 4d + d2 = 5 + -5 + 5d + -5d

Combine like terms: 5 + -5 = 0
-5 + 4d + d2 = 0 + 5d + -5d
-5 + 4d + d2 = 5d + -5d

Combine like terms: 5d + -5d = 0
-5 + 4d + d2 = 0

Factor a trinomial.
(-5 + -1d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-5 + -1d)' equal to zero and attempt to solve:

Simplifying
-5 + -1d = 0

Solving
-5 + -1d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1d = 0 + 5
-1d = 0 + 5

Combine like terms: 0 + 5 = 5
-1d = 5

Divide each side by '-1'.
d = -5

Simplifying
d = -5
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

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

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

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

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

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

Simplifying
d = 1
Solution
d = {-5, 1}