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Simplifying 0 = 4m2n2 + 28mn + 49 Reorder the terms: 0 = 49 + 28mn + 4m2n2 Solving 0 = 49 + 28mn + 4m2n2 Solving for variable 'm'. Combine like terms: 0 + -49 = -49 -49 + -28mn + -4m2n2 = 49 + 28mn + 4m2n2 + -49 + -28mn + -4m2n2 Reorder the terms: -49 + -28mn + -4m2n2 = 49 + -49 + 28mn + -28mn + 4m2n2 + -4m2n2 Combine like terms: 49 + -49 = 0 -49 + -28mn + -4m2n2 = 0 + 28mn + -28mn + 4m2n2 + -4m2n2 -49 + -28mn + -4m2n2 = 28mn + -28mn + 4m2n2 + -4m2n2 Combine like terms: 28mn + -28mn = 0 -49 + -28mn + -4m2n2 = 0 + 4m2n2 + -4m2n2 -49 + -28mn + -4m2n2 = 4m2n2 + -4m2n2 Combine like terms: 4m2n2 + -4m2n2 = 0 -49 + -28mn + -4m2n2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(49 + 28mn + 4m2n2) = 0 Factor a trinomial. -1((7 + 2mn)(7 + 2mn)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 2mn)' equal to zero and attempt to solve: Simplifying 7 + 2mn = 0 Solving 7 + 2mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2mn = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2mn = 0 + -7 2mn = 0 + -7 Combine like terms: 0 + -7 = -7 2mn = -7 Divide each side by '2n'. m = -3.5n-1 Simplifying m = -3.5n-1Subproblem 2
Set the factor '(7 + 2mn)' equal to zero and attempt to solve: Simplifying 7 + 2mn = 0 Solving 7 + 2mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2mn = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2mn = 0 + -7 2mn = 0 + -7 Combine like terms: 0 + -7 = -7 2mn = -7 Divide each side by '2n'. m = -3.5n-1 Simplifying m = -3.5n-1Solution
m = {-3.5n-1, -3.5n-1}
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