6d^2=d+1

Solution for 6d^2=d+1 equation:

Simplifying
6d2 = d + 1

Reorder the terms:
6d2 = 1 + d

Solving
6d2 = 1 + d

Solving for variable 'd'.

Reorder the terms:
-1 + -1d + 6d2 = 1 + d + -1 + -1d

Reorder the terms:
-1 + -1d + 6d2 = 1 + -1 + d + -1d

Combine like terms: 1 + -1 = 0
-1 + -1d + 6d2 = 0 + d + -1d
-1 + -1d + 6d2 = d + -1d

Combine like terms: d + -1d = 0
-1 + -1d + 6d2 = 0

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

Subproblem 1
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
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 = {-0.3333333333, 0.5}