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Simplifying (m * 10) = (3m * v) Reorder the terms for easier multiplication: (10m) = (3m * v) Multiply m * v (10m) = (3mv) Solving (10m) = (3mv) Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '(-3mv)' to each side of the equation. (10m) + (-3mv) = (3mv) + (-3mv) Combine like terms: (3mv) + (-3mv) = 0 (10m) + (-3mv) = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(10 + (-3v)) = 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 '(10 + (-3v))' equal to zero and attempt to solve: Simplifying 10 + (-3v) = 0 Solving 10 + (-3v) = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + (-3v) = 0 + -10 Combine like terms: 10 + -10 = 0 0 + (-3v) = 0 + -10 (-3v) = 0 + -10 Combine like terms: 0 + -10 = -10 (-3v) = -10 Add '(3v)' to each side of the equation. (-3v) + (3v) = -10 + (3v) Combine like terms: (-3v) + (3v) = 0 0 = -10 + (3v) Simplifying 0 = -10 + (3v) 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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