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