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Simplifying 7mn + -6m + -1mn + 2mn + -4np + 2 = 0 Reorder the terms: 2 + -6m + 7mn + -1mn + 2mn + -4np = 0 Combine like terms: 7mn + -1mn = 6mn 2 + -6m + 6mn + 2mn + -4np = 0 Combine like terms: 6mn + 2mn = 8mn 2 + -6m + 8mn + -4np = 0 Solving 2 + -6m + 8mn + -4np = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -6m + 8mn + -2 + -4np = 0 + -2 Reorder the terms: 2 + -2 + -6m + 8mn + -4np = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6m + 8mn + -4np = 0 + -2 -6m + 8mn + -4np = 0 + -2 Combine like terms: 0 + -2 = -2 -6m + 8mn + -4np = -2 Add '4np' to each side of the equation. -6m + 8mn + -4np + 4np = -2 + 4np Combine like terms: -4np + 4np = 0 -6m + 8mn + 0 = -2 + 4np -6m + 8mn = -2 + 4np Reorder the terms: 2 + -6m + 8mn + -4np = -2 + 4np + 2 + -4np Reorder the terms: 2 + -6m + 8mn + -4np = -2 + 2 + 4np + -4np Combine like terms: -2 + 2 = 0 2 + -6m + 8mn + -4np = 0 + 4np + -4np 2 + -6m + 8mn + -4np = 4np + -4np Combine like terms: 4np + -4np = 0 2 + -6m + 8mn + -4np = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -3m + 4mn + -2np) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -3m + 4mn + -2np)' equal to zero and attempt to solve: Simplifying 1 + -3m + 4mn + -2np = 0 Solving 1 + -3m + 4mn + -2np = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3m + 4mn + -1 + -2np = 0 + -1 Reorder the terms: 1 + -1 + -3m + 4mn + -2np = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m + 4mn + -2np = 0 + -1 -3m + 4mn + -2np = 0 + -1 Combine like terms: 0 + -1 = -1 -3m + 4mn + -2np = -1 Add '2np' to each side of the equation. -3m + 4mn + -2np + 2np = -1 + 2np Combine like terms: -2np + 2np = 0 -3m + 4mn + 0 = -1 + 2np -3m + 4mn = -1 + 2np The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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