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Simplifying 16m4 + -25n2 = 0 Solving 16m4 + -25n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25n2' to each side of the equation. 16m4 + -25n2 + 25n2 = 0 + 25n2 Combine like terms: -25n2 + 25n2 = 0 16m4 + 0 = 0 + 25n2 16m4 = 0 + 25n2 Remove the zero: 16m4 = 25n2 Divide each side by '16'. m4 = 1.5625n2 Simplifying m4 = 1.5625n2 Combine like terms: 1.5625n2 + -1.5625n2 = 0.0000 m4 + -1.5625n2 = 0.0000 Factor a difference between two squares. (m2 + 1.25n)(m2 + -1.25n) = 0.0000Subproblem 1
Set the factor '(m2 + 1.25n)' equal to zero and attempt to solve: Simplifying m2 + 1.25n = 0 Solving m2 + 1.25n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1.25n' to each side of the equation. m2 + 1.25n + -1.25n = 0 + -1.25n Combine like terms: 1.25n + -1.25n = 0.00 m2 + 0.00 = 0 + -1.25n m2 = 0 + -1.25n Remove the zero: m2 = -1.25n Simplifying m2 = -1.25n 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 + -1.25n)' equal to zero and attempt to solve: Simplifying m2 + -1.25n = 0 Solving m2 + -1.25n = 0 Move all terms containing m to the left, all other terms to the right. Add '1.25n' to each side of the equation. m2 + -1.25n + 1.25n = 0 + 1.25n Combine like terms: -1.25n + 1.25n = 0.00 m2 + 0.00 = 0 + 1.25n m2 = 0 + 1.25n Remove the zero: m2 = 1.25n Simplifying m2 = 1.25n 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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