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Simplifying 6m2 + -16mn + -22n2 = 0 Reorder the terms: -16mn + 6m2 + -22n2 = 0 Solving -16mn + 6m2 + -22n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8mn + 3m2 + -11n2) = 0 Factor a trinomial. 2((3m + -11n)(m + n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3m + -11n)' equal to zero and attempt to solve: Simplifying 3m + -11n = 0 Solving 3m + -11n = 0 Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 3m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 3m + 0 = 0 + 11n 3m = 0 + 11n Remove the zero: 3m = 11n Divide each side by '3'. m = 3.666666667n Simplifying m = 3.666666667nSubproblem 2
Set the factor '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSolution
m = {3.666666667n, -1n}
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