2d^3-7d+6d=0

Solution for 2d^3-7d+6d=0 equation:

Simplifying
2d3 + -7d + 6d = 0

Reorder the terms:
-7d + 6d + 2d3 = 0

Combine like terms: -7d + 6d = -1d
-1d + 2d3 = 0

Solving
-1d + 2d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(-1 + 2d2) = 0

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0
Subproblem 2
Set the factor '(-1 + 2d2)' equal to zero and attempt to solve:

Simplifying
-1 + 2d2 = 0

Solving
-1 + 2d2 = 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 + 2d2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2d2 = 0 + 1
2d2 = 0 + 1

Combine like terms: 0 + 1 = 1
2d2 = 1

Divide each side by '2'.
d2 = 0.5

Simplifying
d2 = 0.5

Take the square root of each side:
d = {-0.707106781, 0.707106781}
Solution
d = {0, -0.707106781, 0.707106781}