5d^2-23d+12=0

Solution for 5d^2-23d+12=0 equation:

Simplifying
5d2 + -23d + 12 = 0

Reorder the terms:
12 + -23d + 5d2 = 0

Solving
12 + -23d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(3 + -5d)(4 + -1d) = 0

Subproblem 1
Set the factor '(3 + -5d)' equal to zero and attempt to solve:

Simplifying
3 + -5d = 0

Solving
3 + -5d = 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 + -5d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5d = 0 + -3
-5d = 0 + -3

Combine like terms: 0 + -3 = -3
-5d = -3

Divide each side by '-5'.
d = 0.6

Simplifying
d = 0.6
Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 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 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {0.6, 4}