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Simplifying 49m2 + -28mn + 4n2 = 0 Reorder the terms: -28mn + 49m2 + 4n2 = 0 Solving -28mn + 49m2 + 4n2 = 0 Solving for variable 'm'. Factor a trinomial. (7m + -2n)(7m + -2n) = 0Subproblem 1
Set the factor '(7m + -2n)' equal to zero and attempt to solve: Simplifying 7m + -2n = 0 Solving 7m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 7m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 7m + 0 = 0 + 2n 7m = 0 + 2n Remove the zero: 7m = 2n Divide each side by '7'. m = 0.2857142857n Simplifying m = 0.2857142857nSubproblem 2
Set the factor '(7m + -2n)' equal to zero and attempt to solve: Simplifying 7m + -2n = 0 Solving 7m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 7m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 7m + 0 = 0 + 2n 7m = 0 + 2n Remove the zero: 7m = 2n Divide each side by '7'. m = 0.2857142857n Simplifying m = 0.2857142857nSolution
m = {0.2857142857n, 0.2857142857n}
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