2(d^2-3d+3)=d+1

Solution for 2(d^2-3d+3)=d+1 equation:

Simplifying
2(d2 + -3d + 3) = d + 1

Reorder the terms:
2(3 + -3d + d2) = d + 1
(3 * 2 + -3d * 2 + d2 * 2) = d + 1
(6 + -6d + 2d2) = d + 1

Reorder the terms:
6 + -6d + 2d2 = 1 + d

Solving
6 + -6d + 2d2 = 1 + d

Solving for variable 'd'.

Reorder the terms:
6 + -1 + -6d + -1d + 2d2 = 1 + d + -1 + -1d

Combine like terms: 6 + -1 = 5
5 + -6d + -1d + 2d2 = 1 + d + -1 + -1d

Combine like terms: -6d + -1d = -7d
5 + -7d + 2d2 = 1 + d + -1 + -1d

Reorder the terms:
5 + -7d + 2d2 = 1 + -1 + d + -1d

Combine like terms: 1 + -1 = 0
5 + -7d + 2d2 = 0 + d + -1d
5 + -7d + 2d2 = d + -1d

Combine like terms: d + -1d = 0
5 + -7d + 2d2 = 0

Factor a trinomial.
(1 + -1d)(5 + -2d) = 0

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

Simplifying
5 + -2d = 0

Solving
5 + -2d = 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 + -2d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2d = 0 + -5
-2d = 0 + -5

Combine like terms: 0 + -5 = -5
-2d = -5

Divide each side by '-2'.
d = 2.5

Simplifying
d = 2.5
Solution
d = {1, 2.5}