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Simplifying m2 + mw + mv + vm = 0 Reorder the terms: mv + mv + mw + m2 = 0 Combine like terms: mv + mv = 2mv 2mv + mw + m2 = 0 Solving 2mv + mw + m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(2v + w + m) = 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 '(2v + w + m)' equal to zero and attempt to solve: Simplifying 2v + w + m = 0 Reorder the terms: m + 2v + w = 0 Solving m + 2v + w = 0 Move all terms containing m to the left, all other terms to the right. Add '-2v' to each side of the equation. m + 2v + -2v + w = 0 + -2v Combine like terms: 2v + -2v = 0 m + 0 + w = 0 + -2v m + w = 0 + -2v Remove the zero: m + w = -2v Add '-1w' to each side of the equation. m + w + -1w = -2v + -1w Combine like terms: w + -1w = 0 m + 0 = -2v + -1w m = -2v + -1w Simplifying m = -2v + -1wSolution
m = {0, -2v + -1w}
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