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Simplifying 25 + -1m16n8 = 0 Solving 25 + -1m16n8 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1m16n8 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1m16n8 = 0 + -25 -1m16n8 = 0 + -25 Combine like terms: 0 + -25 = -25 -1m16n8 = -25 Divide each side by '-1n8'. m16 = 25n-8 Simplifying m16 = 25n-8 Combine like terms: 25n-8 + -25n-8 = 0 m16 + -25n-8 = 0 Factor out the Greatest Common Factor (GCF), 'n-8'. n-8(m16n8 + -25) = 0 Factor a difference between two squares. n-8((m8n4 + 5)(m8n4 + -5)) = 0Subproblem 1
Set the factor 'n-8' equal to zero and attempt to solve: Simplifying n-8 = 0 Solving n-8 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n-8' to each side of the equation. n-8 + -1n-8 = 0 + -1n-8 Remove the zero: 0 = -1n-8 Simplifying 0 = -1n-8 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 '(m8n4 + 5)' equal to zero and attempt to solve: Simplifying m8n4 + 5 = 0 Reorder the terms: 5 + m8n4 = 0 Solving 5 + m8n4 = 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 + m8n4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m8n4 = 0 + -5 m8n4 = 0 + -5 Combine like terms: 0 + -5 = -5 m8n4 = -5 Divide each side by 'n4'. m8 = -5n-4 Simplifying m8 = -5n-4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(m8n4 + -5)' equal to zero and attempt to solve: Simplifying m8n4 + -5 = 0 Reorder the terms: -5 + m8n4 = 0 Solving -5 + m8n4 = 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 + m8n4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m8n4 = 0 + 5 m8n4 = 0 + 5 Combine like terms: 0 + 5 = 5 m8n4 = 5 Divide each side by 'n4'. m8 = 5n-4 Simplifying m8 = 5n-4 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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