6d^2+21d=10d-3

Solution for 6d^2+21d=10d-3 equation:

Simplifying
6d2 + 21d = 10d + -3

Reorder the terms:
21d + 6d2 = 10d + -3

Reorder the terms:
21d + 6d2 = -3 + 10d

Solving
21d + 6d2 = -3 + 10d

Solving for variable 'd'.

Reorder the terms:
3 + 21d + -10d + 6d2 = -3 + 10d + 3 + -10d

Combine like terms: 21d + -10d = 11d
3 + 11d + 6d2 = -3 + 10d + 3 + -10d

Reorder the terms:
3 + 11d + 6d2 = -3 + 3 + 10d + -10d

Combine like terms: -3 + 3 = 0
3 + 11d + 6d2 = 0 + 10d + -10d
3 + 11d + 6d2 = 10d + -10d

Combine like terms: 10d + -10d = 0
3 + 11d + 6d2 = 0

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

Subproblem 1
Set the factor '(3 + 2d)' equal to zero and attempt to solve:

Simplifying
3 + 2d = 0

Solving
3 + 2d = 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 + 2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2d = 0 + -3
2d = 0 + -3

Combine like terms: 0 + -3 = -3
2d = -3

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
Set the factor '(1 + 3d)' equal to zero and attempt to solve:

Simplifying
1 + 3d = 0

Solving
1 + 3d = 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 + 3d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3d = 0 + -1
3d = 0 + -1

Combine like terms: 0 + -1 = -1
3d = -1

Divide each side by '3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Solution
d = {-1.5, -0.3333333333}