m=mc^2

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Solution for m=mc^2 equation:


Simplifying
m = mc2

Solving
m = c2m

Solving for variable 'm'.

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

Add '-1c2m' to each side of the equation.
-1c2m + m = c2m + -1c2m

Combine like terms: c2m + -1c2m = 0
-1c2m + m = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1c2 + 1) = 0

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

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(c + 1)' equal to zero and attempt to solve: Simplifying c + 1 = 0 Reorder the terms: 1 + c = 0 Solving 1 + c = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Add '-1c' to each side of the equation. c + -1c = -1 + -1c Combine like terms: c + -1c = 0 0 = -1 + -1c Simplifying 0 = -1 + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-1c + 1)' equal to zero and attempt to solve: Simplifying -1c + 1 = 0 Reorder the terms: 1 + -1c = 0 Solving 1 + -1c = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Add 'c' to each side of the equation. -1c + c = -1 + c Combine like terms: -1c + c = 0 0 = -1 + c Simplifying 0 = -1 + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

m = {0}

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