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Simplifying m8 + -1n8 = 0 Solving m8 + -1n8 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n8' to each side of the equation. m8 + -1n8 + n8 = 0 + n8 Combine like terms: -1n8 + n8 = 0 m8 + 0 = 0 + n8 m8 = 0 + n8 Remove the zero: m8 = n8 Simplifying m8 = n8 Combine like terms: n8 + -1n8 = 0 m8 + -1n8 = 0 Factor a difference between two squares. (m4 + n4)(m4 + -1n4) = 0 Factor a difference between two squares. (m4 + n4)((m2 + n2)(m2 + -1n2)) = 0 Factor a difference between two squares. (m4 + n4)((m2 + n2)((m + n)(m + -1n))) = 0Subproblem 1
Set the factor '(m4 + n4)' equal to zero and attempt to solve: Simplifying m4 + n4 = 0 Solving m4 + n4 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n4' to each side of the equation. m4 + n4 + -1n4 = 0 + -1n4 Combine like terms: n4 + -1n4 = 0 m4 + 0 = 0 + -1n4 m4 = 0 + -1n4 Remove the zero: m4 = -1n4 Simplifying m4 = -1n4 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 '(m2 + n2)' equal to zero and attempt to solve: Simplifying m2 + n2 = 0 Solving m2 + n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n2' to each side of the equation. m2 + n2 + -1n2 = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 m2 + 0 = 0 + -1n2 m2 = 0 + -1n2 Remove the zero: m2 = -1n2 Simplifying m2 = -1n2 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 '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSubproblem 4
Set the factor '(m + -1n)' equal to zero and attempt to solve: Simplifying m + -1n = 0 Solving m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. m + -1n + n = 0 + n Combine like terms: -1n + n = 0 m + 0 = 0 + n m = 0 + n Remove the zero: m = n Simplifying m = nSolution
m = {-1n, n}
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