32d^2+42d+10=0

Solution for 32d^2+42d+10=0 equation:

Simplifying
32d2 + 42d + 10 = 0

Reorder the terms:
10 + 42d + 32d2 = 0

Solving
10 + 42d + 32d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 21d + 16d2) = 0

Factor a trinomial.
2((1 + d)(5 + 16d)) = 0

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

Simplifying
1 + d = 0

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

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

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

Simplifying
d = -1
Subproblem 2
Set the factor '(5 + 16d)' equal to zero and attempt to solve:

Simplifying
5 + 16d = 0

Solving
5 + 16d = 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 + 16d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 16d = 0 + -5
16d = 0 + -5

Combine like terms: 0 + -5 = -5
16d = -5

Divide each side by '16'.
d = -0.3125

Simplifying
d = -0.3125
Solution
d = {-1, -0.3125}