23d=-10-6d^2

Solution for 23d=-10-6d^2 equation:

Simplifying
23d = -10 + -6d2

Solving
23d = -10 + -6d2

Solving for variable 'd'.

Reorder the terms:
10 + 23d + 6d2 = -10 + -6d2 + 10 + 6d2

Reorder the terms:
10 + 23d + 6d2 = -10 + 10 + -6d2 + 6d2

Combine like terms: -10 + 10 = 0
10 + 23d + 6d2 = 0 + -6d2 + 6d2
10 + 23d + 6d2 = -6d2 + 6d2

Combine like terms: -6d2 + 6d2 = 0
10 + 23d + 6d2 = 0

Factor a trinomial.
(10 + 3d)(1 + 2d) = 0

Subproblem 1
Set the factor '(10 + 3d)' equal to zero and attempt to solve:

Simplifying
10 + 3d = 0

Solving
10 + 3d = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3d = 0 + -10
3d = 0 + -10

Combine like terms: 0 + -10 = -10
3d = -10

Divide each side by '3'.
d = -3.333333333

Simplifying
d = -3.333333333
Subproblem 2
Set the factor '(1 + 2d)' equal to zero and attempt to solve:

Simplifying
1 + 2d = 0

Solving
1 + 2d = 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 + 2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2d = 0 + -1
2d = 0 + -1

Combine like terms: 0 + -1 = -1
2d = -1

Divide each side by '2'.
d = -0.5

Simplifying
d = -0.5
Solution
d = {-3.333333333, -0.5}