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Simplifying 196 + -1m4n2 = 0 Solving 196 + -1m4n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-196' to each side of the equation. 196 + -196 + -1m4n2 = 0 + -196 Combine like terms: 196 + -196 = 0 0 + -1m4n2 = 0 + -196 -1m4n2 = 0 + -196 Combine like terms: 0 + -196 = -196 -1m4n2 = -196 Divide each side by '-1n2'. m4 = 196n-2 Simplifying m4 = 196n-2 Combine like terms: 196n-2 + -196n-2 = 0 m4 + -196n-2 = 0 Factor out the Greatest Common Factor (GCF), 'n-2'. n-2(m4n2 + -196) = 0 Factor a difference between two squares. n-2((m2n + 14)(m2n + -14)) = 0Subproblem 1
Set the factor 'n-2' equal to zero and attempt to solve: Simplifying n-2 = 0 Solving n-2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n-2' to each side of the equation. n-2 + -1n-2 = 0 + -1n-2 Remove the zero: 0 = -1n-2 Simplifying 0 = -1n-2 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 '(m2n + 14)' equal to zero and attempt to solve: Simplifying m2n + 14 = 0 Reorder the terms: 14 + m2n = 0 Solving 14 + m2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + m2n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + m2n = 0 + -14 m2n = 0 + -14 Combine like terms: 0 + -14 = -14 m2n = -14 Divide each side by 'n'. m2 = -14n-1 Simplifying m2 = -14n-1 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 '(m2n + -14)' equal to zero and attempt to solve: Simplifying m2n + -14 = 0 Reorder the terms: -14 + m2n = 0 Solving -14 + m2n = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + m2n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + m2n = 0 + 14 m2n = 0 + 14 Combine like terms: 0 + 14 = 14 m2n = 14 Divide each side by 'n'. m2 = 14n-1 Simplifying m2 = 14n-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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