(2d^2-3d+1)-(d^1+9)=

Solution for (2d^2-3d+1)-(d^1+9)= equation:

Simplifying
(2d2 + -3d + 1) + -1(d + 9) = 0

Reorder the terms:
(1 + -3d + 2d2) + -1(d + 9) = 0

Remove parenthesis around (1 + -3d + 2d2)
1 + -3d + 2d2 + -1(d + 9) = 0

Reorder the terms:
1 + -3d + 2d2 + -1(9 + d) = 0
1 + -3d + 2d2 + (9 * -1 + d * -1) = 0
1 + -3d + 2d2 + (-9 + -1d) = 0

Reorder the terms:
1 + -9 + -3d + -1d + 2d2 = 0

Combine like terms: 1 + -9 = -8
-8 + -3d + -1d + 2d2 = 0

Combine like terms: -3d + -1d = -4d
-8 + -4d + 2d2 = 0

Solving
-8 + -4d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -2d + d2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -2d + d2)' equal to zero and attempt to solve:

Simplifying
-4 + -2d + d2 = 0

Solving
-4 + -2d + d2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -2d + 4 + d2 = 0 + 4

Reorder the terms:
-4 + 4 + -2d + d2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2d + d2 = 0 + 4
-2d + d2 = 0 + 4

Combine like terms: 0 + 4 = 4
-2d + d2 = 4

The d term is -2d.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2d + 1 + d2 = 4 + 1

Reorder the terms:
1 + -2d + d2 = 4 + 1

Combine like terms: 4 + 1 = 5
1 + -2d + d2 = 5

Factor a perfect square on the left side:
(d + -1)(d + -1) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(d + -1) equal to 2.236067978 and -2.236067978.

Subproblem 1
d + -1 = 2.236067978

Simplifying
d + -1 = 2.236067978

Reorder the terms:
-1 + d = 2.236067978

Solving
-1 + d = 2.236067978

Solving for variable 'd'.

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

Add '1' to each side of the equation.
-1 + 1 + d = 2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + d = 2.236067978 + 1
d = 2.236067978 + 1

Combine like terms: 2.236067978 + 1 = 3.236067978
d = 3.236067978

Simplifying
d = 3.236067978

Subproblem 2
d + -1 = -2.236067978

Simplifying
d + -1 = -2.236067978

Reorder the terms:
-1 + d = -2.236067978

Solving
-1 + d = -2.236067978

Solving for variable 'd'.

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

Add '1' to each side of the equation.
-1 + 1 + d = -2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + d = -2.236067978 + 1
d = -2.236067978 + 1

Combine like terms: -2.236067978 + 1 = -1.236067978
d = -1.236067978

Simplifying
d = -1.236067978

Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {3.236067978, -1.236067978}
Solution
d = {3.236067978, -1.236067978}