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

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

Simplifying
7d3 + 6d2 + -1d = 0

Reorder the terms:
-1d + 6d2 + 7d3 = 0

Solving
-1d + 6d2 + 7d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(-1 + 6d + 7d2) = 0

Factor a trinomial.
d((-1 + -1d)(1 + -7d)) = 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 + -1d)' equal to zero and attempt to solve:

Simplifying
-1 + -1d = 0

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

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

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

Divide each side by '-1'.
d = -1

Simplifying
d = -1
Subproblem 3
Set the factor '(1 + -7d)' equal to zero and attempt to solve:

Simplifying
1 + -7d = 0

Solving
1 + -7d = 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 + -7d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7d = 0 + -1
-7d = 0 + -1

Combine like terms: 0 + -1 = -1
-7d = -1

Divide each side by '-7'.
d = 0.1428571429

Simplifying
d = 0.1428571429
Solution
d = {0, -1, 0.1428571429}