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

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

Simplifying
2d3 + 6d = 7d2

Reorder the terms:
6d + 2d3 = 7d2

Solving
6d + 2d3 = 7d2

Solving for variable 'd'.

Reorder the terms:
6d + -7d2 + 2d3 = 7d2 + -7d2

Combine like terms: 7d2 + -7d2 = 0
6d + -7d2 + 2d3 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(6 + -7d + 2d2) = 0

Factor a trinomial.
d((3 + -2d)(2 + -1d)) = 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 '(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 3
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 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 + -1d = 0 + -2

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

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

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {0, 1.5, 2}