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Simplifying 4m2 + 28mn + 49n2 = 0 Reorder the terms: 28mn + 4m2 + 49n2 = 0 Solving 28mn + 4m2 + 49n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + 7n)(2m + 7n) = 0Subproblem 1
Set the factor '(2m + 7n)' equal to zero and attempt to solve: Simplifying 2m + 7n = 0 Solving 2m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 2m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 2m + 0 = 0 + -7n 2m = 0 + -7n Remove the zero: 2m = -7n Divide each side by '2'. m = -3.5n Simplifying m = -3.5nSubproblem 2
Set the factor '(2m + 7n)' equal to zero and attempt to solve: Simplifying 2m + 7n = 0 Solving 2m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 2m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 2m + 0 = 0 + -7n 2m = 0 + -7n Remove the zero: 2m = -7n Divide each side by '2'. m = -3.5n Simplifying m = -3.5nSolution
m = {-3.5n, -3.5n}
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