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Simplifying mv + mz = tform Solving mv + mz = fmort Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1fmort' to each side of the equation. mv + -1fmort + mz = fmort + -1fmort Reorder the terms: -1fmort + mv + mz = fmort + -1fmort Combine like terms: fmort + -1fmort = 0 -1fmort + mv + mz = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-1fort + v + z) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-1fort + v + z)' equal to zero and attempt to solve: Simplifying -1fort + v + z = 0 Solving -1fort + v + z = 0 Move all terms containing m to the left, all other terms to the right. Add 'fort' to each side of the equation. -1fort + v + fort + z = 0 + fort Reorder the terms: -1fort + fort + v + z = 0 + fort Combine like terms: -1fort + fort = 0 0 + v + z = 0 + fort v + z = 0 + fort Remove the zero: v + z = fort Add '-1v' to each side of the equation. v + -1v + z = fort + -1v Combine like terms: v + -1v = 0 0 + z = fort + -1v z = fort + -1v Add '-1z' to each side of the equation. z + -1z = fort + -1v + -1z Combine like terms: z + -1z = 0 0 = fort + -1v + -1z Simplifying 0 = fort + -1v + -1z 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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