d^4-2d^2c^2+c^4=

Solution for d^4-2d^2c^2+c^4= equation:

Simplifying
d4 + -2d2c2 + c4 = 0

Reorder the terms:
-2c2d2 + c4 + d4 = 0

Solving
-2c2d2 + c4 + d4 = 0

Solving for variable 'c'.

Factor a trinomial.
(c2 + -1d2)(c2 + -1d2) = 0

Factor a difference between two squares.
((c + d)(c + -1d))(c2 + -1d2) = 0

Factor a difference between two squares.
((c + d)(c + -1d))(c + d)(c + -1d) = 0

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

Simplifying
c + d = 0

Solving
c + d = 0

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

Add '-1d' to each side of the equation.
c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
c + 0 = 0 + -1d
c = 0 + -1d
Remove the zero:
c = -1d

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

Simplifying
c + -1d = 0

Solving
c + -1d = 0

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

Add 'd' to each side of the equation.
c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
c + 0 = 0 + d
c = 0 + d
Remove the zero:
c = d

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

Simplifying
c + d = 0

Solving
c + d = 0

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

Add '-1d' to each side of the equation.
c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
c + 0 = 0 + -1d
c = 0 + -1d
Remove the zero:
c = -1d

Simplifying
c = -1d
Subproblem 4
Set the factor '(c + -1d)' equal to zero and attempt to solve:

Simplifying
c + -1d = 0

Solving
c + -1d = 0

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

Add 'd' to each side of the equation.
c + -1d + d = 0 + d

Combine like terms: -1d + d = 0
c + 0 = 0 + d
c = 0 + d
Remove the zero:
c = d

Simplifying
c = d
Solution
c = {-1d, d, -1d, d}