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Simplifying (m3n + 8)(m3n + -5) = 0 Reorder the terms: (8 + m3n)(m3n + -5) = 0 Reorder the terms: (8 + m3n)(-5 + m3n) = 0 Multiply (8 + m3n) * (-5 + m3n) (8(-5 + m3n) + m3n(-5 + m3n)) = 0 ((-5 * 8 + m3n * 8) + m3n(-5 + m3n)) = 0 ((-40 + 8m3n) + m3n(-5 + m3n)) = 0 (-40 + 8m3n + (-5 * m3n + m3n * m3n)) = 0 (-40 + 8m3n + (-5m3n + m6n2)) = 0 Combine like terms: 8m3n + -5m3n = 3m3n (-40 + 3m3n + m6n2) = 0 Solving -40 + 3m3n + m6n2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m3n)(5 + -1m3n) = 0Subproblem 1
Set the factor '(-8 + -1m3n)' equal to zero and attempt to solve: Simplifying -8 + -1m3n = 0 Solving -8 + -1m3n = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m3n = 0 + 8 -1m3n = 0 + 8 Combine like terms: 0 + 8 = 8 -1m3n = 8 Divide each side by '-1n'. m3 = -8n-1 Simplifying m3 = -8n-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -1m3n)' equal to zero and attempt to solve: Simplifying 5 + -1m3n = 0 Solving 5 + -1m3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m3n = 0 + -5 -1m3n = 0 + -5 Combine like terms: 0 + -5 = -5 -1m3n = -5 Divide each side by '-1n'. m3 = 5n-1 Simplifying m3 = 5n-1 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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