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Simplifying m4 + -4n2 = 0 Solving m4 + -4n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4n2' to each side of the equation. m4 + -4n2 + 4n2 = 0 + 4n2 Combine like terms: -4n2 + 4n2 = 0 m4 + 0 = 0 + 4n2 m4 = 0 + 4n2 Remove the zero: m4 = 4n2 Simplifying m4 = 4n2 Combine like terms: 4n2 + -4n2 = 0 m4 + -4n2 = 0 Factor a difference between two squares. (m2 + 2n)(m2 + -2n) = 0Subproblem 1
Set the factor '(m2 + 2n)' equal to zero and attempt to solve: Simplifying m2 + 2n = 0 Solving m2 + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. m2 + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 m2 + 0 = 0 + -2n m2 = 0 + -2n Remove the zero: m2 = -2n Simplifying m2 = -2n 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 + -2n)' equal to zero and attempt to solve: Simplifying m2 + -2n = 0 Solving m2 + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. m2 + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 m2 + 0 = 0 + 2n m2 = 0 + 2n Remove the zero: m2 = 2n Simplifying m2 = 2n 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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