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Simplifying fartsmn * mn = farts Multiply afmnrst * mn afm2n2rst = farts Solving afm2n2rst = afrst Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1afrst' to each side of the equation. afm2n2rst + -1afrst = afrst + -1afrst Combine like terms: afrst + -1afrst = 0 afm2n2rst + -1afrst = 0 Factor out the Greatest Common Factor (GCF), 'afrst'. afrst(m2n2 + -1) = 0 Factor a difference between two squares. afrst((mn + 1)(mn + -1)) = 0Subproblem 1
Set the factor 'afrst' equal to zero and attempt to solve: Simplifying afrst = 0 Solving afrst = 0 Move all terms containing a to the left, all other terms to the right. Simplifying afrst = 0 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 '(mn + 1)' equal to zero and attempt to solve: Simplifying mn + 1 = 0 Reorder the terms: 1 + mn = 0 Solving 1 + mn = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + mn = 0 + -1 Combine like terms: 1 + -1 = 0 0 + mn = 0 + -1 mn = 0 + -1 Combine like terms: 0 + -1 = -1 mn = -1 Add '-1mn' to each side of the equation. mn + -1mn = -1 + -1mn Combine like terms: mn + -1mn = 0 0 = -1 + -1mn Simplifying 0 = -1 + -1mn 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 '(mn + -1)' equal to zero and attempt to solve: Simplifying mn + -1 = 0 Reorder the terms: -1 + mn = 0 Solving -1 + mn = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + mn = 0 + 1 Combine like terms: -1 + 1 = 0 0 + mn = 0 + 1 mn = 0 + 1 Combine like terms: 0 + 1 = 1 mn = 1 Add '-1mn' to each side of the equation. mn + -1mn = 1 + -1mn Combine like terms: mn + -1mn = 0 0 = 1 + -1mn Simplifying 0 = 1 + -1mn 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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