d^2+6=10d-10

Solution for d^2+6=10d-10 equation:

Simplifying
d2 + 6 = 10d + -10

Reorder the terms:
6 + d2 = 10d + -10

Reorder the terms:
6 + d2 = -10 + 10d

Solving
6 + d2 = -10 + 10d

Solving for variable 'd'.

Reorder the terms:
6 + 10 + -10d + d2 = -10 + 10d + 10 + -10d

Combine like terms: 6 + 10 = 16
16 + -10d + d2 = -10 + 10d + 10 + -10d

Reorder the terms:
16 + -10d + d2 = -10 + 10 + 10d + -10d

Combine like terms: -10 + 10 = 0
16 + -10d + d2 = 0 + 10d + -10d
16 + -10d + d2 = 10d + -10d

Combine like terms: 10d + -10d = 0
16 + -10d + d2 = 0

Factor a trinomial.
(2 + -1d)(8 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d = 0 + -8
-1d = 0 + -8

Combine like terms: 0 + -8 = -8
-1d = -8

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Solution
d = {2, 8}