2d^2=5-9d

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

Simplifying
2d2 = 5 + -9d

Solving
2d2 = 5 + -9d

Solving for variable 'd'.

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

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

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
d = {-5, 0.5}