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Simplifying (m3 + -2n)(m3 + 2n) = 0 Multiply (m3 + -2n) * (m3 + 2n) (m3(m3 + 2n) + -2n * (m3 + 2n)) = 0 ((m3 * m3 + 2n * m3) + -2n * (m3 + 2n)) = 0 Reorder the terms: ((2m3n + m6) + -2n * (m3 + 2n)) = 0 ((2m3n + m6) + -2n * (m3 + 2n)) = 0 (2m3n + m6 + (m3 * -2n + 2n * -2n)) = 0 (2m3n + m6 + (-2m3n + -4n2)) = 0 Reorder the terms: (2m3n + -2m3n + m6 + -4n2) = 0 Combine like terms: 2m3n + -2m3n = 0 (0 + m6 + -4n2) = 0 (m6 + -4n2) = 0 Solving m6 + -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. m6 + -4n2 + 4n2 = 0 + 4n2 Combine like terms: -4n2 + 4n2 = 0 m6 + 0 = 0 + 4n2 m6 = 0 + 4n2 Remove the zero: m6 = 4n2 Simplifying m6 = 4n2 Combine like terms: 4n2 + -4n2 = 0 m6 + -4n2 = 0 Factor a difference between two squares. (m3 + 2n)(m3 + -2n) = 0Subproblem 1
Set the factor '(m3 + 2n)' equal to zero and attempt to solve: Simplifying m3 + 2n = 0 Solving m3 + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. m3 + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 m3 + 0 = 0 + -2n m3 = 0 + -2n Remove the zero: m3 = -2n Simplifying m3 = -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 '(m3 + -2n)' equal to zero and attempt to solve: Simplifying m3 + -2n = 0 Solving m3 + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. m3 + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 m3 + 0 = 0 + 2n m3 = 0 + 2n Remove the zero: m3 = 2n Simplifying m3 = 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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