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Simplifying (3m2) + (5mn) = (28n2) Reorder the terms: (5mn) + (3m2) = (28n2) Solving (5mn) + (3m2) = (28n2) Solving for variable 'm'. Combine like terms: (28n2) + (-28n2) = 0 (5mn) + (3m2) + (-28n2) = 0 Factor a trinomial. (3m + -7n)(m + 4n) = 0Subproblem 1
Set the factor '(3m + -7n)' equal to zero and attempt to solve: Simplifying 3m + -7n = 0 Solving 3m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 3m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 3m + 0 = 0 + 7n 3m = 0 + 7n Remove the zero: 3m = 7n Divide each side by '3'. m = 2.333333333n Simplifying m = 2.333333333nSubproblem 2
Set the factor '(m + 4n)' equal to zero and attempt to solve: Simplifying m + 4n = 0 Solving m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 m + 0 = 0 + -4n m = 0 + -4n Remove the zero: m = -4n Simplifying m = -4nSolution
m = {2.333333333n, -4n}
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