mv=(m+M)uform

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Solution for mv=(m+M)uform equation:


Simplifying
mv = (m + M) * uform

Reorder the terms:
mv = (M + m) * uform

Reorder the terms for easier multiplication:
mv = fmoru(M + m)
mv = (M * fmoru + m * fmoru)
mv = (fmoruM + fm2oru)

Solving
mv = fmoruM + fm2oru

Solving for variable 'm'.

Reorder the terms:
-1fmoruM + -1fm2oru + mv = fmoruM + fm2oru + -1fmoruM + -1fm2oru

Reorder the terms:
-1fmoruM + -1fm2oru + mv = fmoruM + -1fmoruM + fm2oru + -1fm2oru

Combine like terms: fmoruM + -1fmoruM = 0
-1fmoruM + -1fm2oru + mv = 0 + fm2oru + -1fm2oru
-1fmoruM + -1fm2oru + mv = fm2oru + -1fm2oru

Combine like terms: fm2oru + -1fm2oru = 0
-1fmoruM + -1fm2oru + mv = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1foruM + -1fmoru + v) = 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 '(-1foruM + -1fmoru + v)' equal to zero and attempt to solve: Simplifying -1foruM + -1fmoru + v = 0 Reorder the terms: -1fmoru + -1foruM + v = 0 Solving -1fmoru + -1foruM + v = 0 Move all terms containing m to the left, all other terms to the right. Add 'foruM' to each side of the equation. -1fmoru + -1foruM + foruM + v = 0 + foruM Combine like terms: -1foruM + foruM = 0 -1fmoru + 0 + v = 0 + foruM -1fmoru + v = 0 + foruM Remove the zero: -1fmoru + v = foruM Add '-1v' to each side of the equation. -1fmoru + v + -1v = foruM + -1v Combine like terms: v + -1v = 0 -1fmoru + 0 = foruM + -1v -1fmoru = foruM + -1v Divide each side by '-1foru'. m = -1M + f-1o-1r-1u-1v Simplifying m = -1M + f-1o-1r-1u-1v

Solution

m = {0, -1M + f-1o-1r-1u-1v}

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