0=d^2-12d-45

Solution for 0=d^2-12d-45 equation:

Simplifying
0 = d2 + -12d + -45

Reorder the terms:
0 = -45 + -12d + d2

Solving
0 = -45 + -12d + d2

Solving for variable 'd'.

Combine like terms: 0 + 45 = 45
45 + 12d + -1d2 = -45 + -12d + d2 + 45 + 12d + -1d2

Reorder the terms:
45 + 12d + -1d2 = -45 + 45 + -12d + 12d + d2 + -1d2

Combine like terms: -45 + 45 = 0
45 + 12d + -1d2 = 0 + -12d + 12d + d2 + -1d2
45 + 12d + -1d2 = -12d + 12d + d2 + -1d2

Combine like terms: -12d + 12d = 0
45 + 12d + -1d2 = 0 + d2 + -1d2
45 + 12d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
45 + 12d + -1d2 = 0

Factor a trinomial.
(15 + -1d)(3 + d) = 0

Subproblem 1
Set the factor '(15 + -1d)' equal to zero and attempt to solve:

Simplifying
15 + -1d = 0

Solving
15 + -1d = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1d = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1d = 0 + -15
-1d = 0 + -15

Combine like terms: 0 + -15 = -15
-1d = -15

Divide each side by '-1'.
d = 15

Simplifying
d = 15
Subproblem 2
Set the factor '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

Solving
3 + d = 0

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

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

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

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

Simplifying
d = -3
Solution
d = {15, -3}