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Simplifying 4m2 + -24mn + 36n2 = 0 Reorder the terms: -24mn + 4m2 + 36n2 = 0 Solving -24mn + 4m2 + 36n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6mn + m2 + 9n2) = 0 Factor a trinomial. 4((m + -3n)(m + -3n)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(m + -3n)' equal to zero and attempt to solve: Simplifying m + -3n = 0 Solving m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 m + 0 = 0 + 3n m = 0 + 3n Remove the zero: m = 3n Simplifying m = 3nSubproblem 2
Set the factor '(m + -3n)' equal to zero and attempt to solve: Simplifying m + -3n = 0 Solving m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 m + 0 = 0 + 3n m = 0 + 3n Remove the zero: m = 3n Simplifying m = 3nSolution
m = {3n, 3n}
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