d^2+3d+2.25=0

Solution for d^2+3d+2.25=0 equation:

Simplifying
d2 + 3d + 2.25 = 0

Reorder the terms:
2.25 + 3d + d2 = 0

Solving
2.25 + 3d + d2 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 3d + -2.25 + d2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 3d + d2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 3d + d2 = 0 + -2.25
3d + d2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
3d + d2 = -2.25

The d term is 3d.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3d + 2.25 + d2 = -2.25 + 2.25

Reorder the terms:
2.25 + 3d + d2 = -2.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
2.25 + 3d + d2 = 0.00

Factor a perfect square on the left side:
(d + 1.5)(d + 1.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(d + 1.5) equal to 0.00 and 0.00.

Subproblem 1
d + 1.5 = 0.00

Simplifying
d + 1.5 = 0.00

Reorder the terms:
1.5 + d = 0.00

Solving
1.5 + d = 0.00

Solving for variable 'd'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + d = 0.00 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + d = 0.00 + -1.5
d = 0.00 + -1.5

Combine like terms: 0.00 + -1.5 = -1.5
d = -1.5

Simplifying
d = -1.5

Subproblem 2
d + 1.5 = 0.00

Simplifying
d + 1.5 = 0.00

Reorder the terms:
1.5 + d = 0.00

Solving
1.5 + d = 0.00

Solving for variable 'd'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + d = 0.00 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + d = 0.00 + -1.5
d = 0.00 + -1.5

Combine like terms: 0.00 + -1.5 = -1.5
d = -1.5

Simplifying
d = -1.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
d = {-1.5, -1.5}