25d^2+40d+12=0

Solution for 25d^2+40d+12=0 equation:

Simplifying
25d2 + 40d + 12 = 0

Reorder the terms:
12 + 40d + 25d2 = 0

Solving
12 + 40d + 25d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(6 + 5d)(2 + 5d) = 0

Subproblem 1
Set the factor '(6 + 5d)' equal to zero and attempt to solve:

Simplifying
6 + 5d = 0

Solving
6 + 5d = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5d = 0 + -6
5d = 0 + -6

Combine like terms: 0 + -6 = -6
5d = -6

Divide each side by '5'.
d = -1.2

Simplifying
d = -1.2
Subproblem 2
Set the factor '(2 + 5d)' equal to zero and attempt to solve:

Simplifying
2 + 5d = 0

Solving
2 + 5d = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5d = 0 + -2

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

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

Divide each side by '5'.
d = -0.4

Simplifying
d = -0.4
Solution
d = {-1.2, -0.4}