6sd^4-6sm^4=

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Solution for 6sd^4-6sm^4= equation: 


Simplifying
6sd4 + -6sm4 = 0

Solving
6d4s + -6m4s = 0

Solving for variable 'd'.

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

Add '6m4s' to each side of the equation.
6d4s + -6m4s + 6m4s = 0 + 6m4s

Combine like terms: -6m4s + 6m4s = 0
6d4s + 0 = 0 + 6m4s
6d4s = 0 + 6m4s
Remove the zero:
6d4s = 6m4s

Divide each side by '6s'.
d4 = m4

Simplifying
d4 = m4

Combine like terms: m4 + -1m4 = 0
d4 + -1m4 = 0

Factor a difference between two squares.
(d2 + m2)(d2 + -1m2) = 0

Factor a difference between two squares.
(d2 + m2)((d + m)(d + -1m)) = 0


Subproblem 1
Set the factor '(d2 + m2)' equal to zero and attempt to solve:

Simplifying
d2 + m2 = 0

Solving
d2 + m2 = 0

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

Add '-1m2' to each side of the equation.
d2 + m2 + -1m2 = 0 + -1m2

Combine like terms: m2 + -1m2 = 0
d2 + 0 = 0 + -1m2
d2 = 0 + -1m2
Remove the zero:
d2 = -1m2

Simplifying
d2 = -1m2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
d + m = 0

Solving
d + m = 0

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

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

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

Simplifying
d = -1m

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

Simplifying
d + -1m = 0

Solving
d + -1m = 0

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

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

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

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

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