7v(t^4-m^4)=

Solution for 7v(t^4-m^4)= equation:

Simplifying
7v(t4 + -1m4) = 0

Reorder the terms:
7v(-1m4 + t4) = 0
(-1m4 * 7v + t4 * 7v) = 0
(-7m4v + 7t4v) = 0

Solving
-7m4v + 7t4v = 0

Solving for variable 'm'.

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

Add '-7t4v' to each side of the equation.
-7m4v + 7t4v + -7t4v = 0 + -7t4v

Combine like terms: 7t4v + -7t4v = 0
-7m4v + 0 = 0 + -7t4v
-7m4v = 0 + -7t4v
Remove the zero:
-7m4v = -7t4v

Divide each side by '-7v'.
m4 = t4

Simplifying
m4 = t4

Combine like terms: t4 + -1t4 = 0
m4 + -1t4 = 0

Factor a difference between two squares.
(m2 + t2)(m2 + -1t2) = 0

Factor a difference between two squares.
(m2 + t2)((m + t)(m + -1t)) = 0

Subproblem 1
Set the factor '(m2 + t2)' equal to zero and attempt to solve:

Simplifying
m2 + t2 = 0

Solving
m2 + t2 = 0

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

Add '-1t2' to each side of the equation.
m2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
m2 + 0 = 0 + -1t2
m2 = 0 + -1t2
Remove the zero:
m2 = -1t2

Simplifying
m2 = -1t2

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 '(m + t)' equal to zero and attempt to solve:

Simplifying
m + t = 0

Solving
m + t = 0

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

Add '-1t' to each side of the equation.
m + t + -1t = 0 + -1t

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

Simplifying
m = -1t
Subproblem 3
Set the factor '(m + -1t)' equal to zero and attempt to solve:

Simplifying
m + -1t = 0

Solving
m + -1t = 0

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

Add 't' to each side of the equation.
m + -1t + t = 0 + t

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

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