2d^2-9d=5

Solution for 2d^2-9d=5 equation:

Simplifying
2d2 + -9d = 5

Reorder the terms:
-9d + 2d2 = 5

Solving
-9d + 2d2 = 5

Solving for variable 'd'.

Reorder the terms:
-5 + -9d + 2d2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -9d + 2d2 = 0

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

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

Simplifying
-1 + -2d = 0

Solving
-1 + -2d = 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 + -2d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2d = 0 + 1
-2d = 0 + 1

Combine like terms: 0 + 1 = 1
-2d = 1

Divide each side by '-2'.
d = -0.5

Simplifying
d = -0.5
Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 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 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {-0.5, 5}