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Simplifying 21m6n10 + 7m7n8 = 0 Solving 21m6n10 + 7m7n8 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7m6n8'. 7m6n8(3n2 + m) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'm6n8' equal to zero and attempt to solve: Simplifying m6n8 = 0 Solving m6n8 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m6n8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3n2 + m)' equal to zero and attempt to solve: Simplifying 3n2 + m = 0 Reorder the terms: m + 3n2 = 0 Solving m + 3n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n2' to each side of the equation. m + 3n2 + -3n2 = 0 + -3n2 Combine like terms: 3n2 + -3n2 = 0 m + 0 = 0 + -3n2 m = 0 + -3n2 Remove the zero: m = -3n2 Simplifying m = -3n2Solution
m = {-3n2}
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