6d^2-7d+2=0

Solution for 6d^2-7d+2=0 equation:

Simplifying
6d2 + -7d + 2 = 0

Reorder the terms:
2 + -7d + 6d2 = 0

Solving
2 + -7d + 6d2 = 0

Solving for variable 'd'.

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

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

Simplifying
2 + -3d = 0

Solving
2 + -3d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3d = 0 + -2

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

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

Divide each side by '-3'.
d = 0.6666666667

Simplifying
d = 0.6666666667
Solution
d = {0.5, 0.6666666667}