2d^2+48d+46=0

Solution for 2d^2+48d+46=0 equation:

Simplifying
2d2 + 48d + 46 = 0

Reorder the terms:
46 + 48d + 2d2 = 0

Solving
46 + 48d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(23 + 24d + d2) = 0

Factor a trinomial.
2((23 + d)(1 + d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(23 + d)' equal to zero and attempt to solve:

Simplifying
23 + d = 0

Solving
23 + d = 0

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

Add '-23' to each side of the equation.
23 + -23 + d = 0 + -23

Combine like terms: 23 + -23 = 0
0 + d = 0 + -23
d = 0 + -23

Combine like terms: 0 + -23 = -23
d = -23

Simplifying
d = -23
Subproblem 2
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
Solution
d = {-23, -1}