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Simplifying 7m2 + -48mn + -7n2 = 0 Reorder the terms: -48mn + 7m2 + -7n2 = 0 Solving -48mn + 7m2 + -7n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -7n)(7m + n) = 0Subproblem 1
Set the factor '(m + -7n)' equal to zero and attempt to solve: Simplifying m + -7n = 0 Solving m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 m + 0 = 0 + 7n m = 0 + 7n Remove the zero: m = 7n Simplifying m = 7nSubproblem 2
Set the factor '(7m + n)' equal to zero and attempt to solve: Simplifying 7m + n = 0 Solving 7m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 7m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 7m + 0 = 0 + -1n 7m = 0 + -1n Remove the zero: 7m = -1n Divide each side by '7'. m = -0.1428571429n Simplifying m = -0.1428571429nSolution
m = {7n, -0.1428571429n}
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