4d^2+9=12d

Solution for 4d^2+9=12d equation:

Simplifying
4d2 + 9 = 12d

Reorder the terms:
9 + 4d2 = 12d

Solving
9 + 4d2 = 12d

Solving for variable 'd'.

Reorder the terms:
9 + -12d + 4d2 = 12d + -12d

Combine like terms: 12d + -12d = 0
9 + -12d + 4d2 = 0

Factor a trinomial.
(3 + -2d)(3 + -2d) = 0

Subproblem 1
Set the factor '(3 + -2d)' equal to zero and attempt to solve:

Simplifying
3 + -2d = 0

Solving
3 + -2d = 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 + -2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3

Combine like terms: 0 + -3 = -3
-2d = -3

Divide each side by '-2'.
d = 1.5

Simplifying
d = 1.5
Subproblem 2
Set the factor '(3 + -2d)' equal to zero and attempt to solve:

Simplifying
3 + -2d = 0

Solving
3 + -2d = 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 + -2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3

Combine like terms: 0 + -3 = -3
-2d = -3

Divide each side by '-2'.
d = 1.5

Simplifying
d = 1.5
Solution
d = {1.5, 1.5}