9d^2-4=5d

Solution for 9d^2-4=5d equation:

Simplifying
9d2 + -4 = 5d

Reorder the terms:
-4 + 9d2 = 5d

Solving
-4 + 9d2 = 5d

Solving for variable 'd'.

Reorder the terms:
-4 + -5d + 9d2 = 5d + -5d

Combine like terms: 5d + -5d = 0
-4 + -5d + 9d2 = 0

Factor a trinomial.
(-4 + -9d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-4 + -9d)' equal to zero and attempt to solve:

Simplifying
-4 + -9d = 0

Solving
-4 + -9d = 0

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

Add '4' to each side of the equation.
-4 + 4 + -9d = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9d = 0 + 4
-9d = 0 + 4

Combine like terms: 0 + 4 = 4
-9d = 4

Divide each side by '-9'.
d = -0.4444444444

Simplifying
d = -0.4444444444
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

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

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

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

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

Simplifying
d = 1
Solution
d = {-0.4444444444, 1}