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Simplifying m4 + 7m2 + 12 = 0 Reorder the terms: 12 + 7m2 + m4 = 0 Solving 12 + 7m2 + m4 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m2)(3 + m2) = 0Subproblem 1
Set the factor '(4 + m2)' equal to zero and attempt to solve: Simplifying 4 + m2 = 0 Solving 4 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m2 = 0 + -4 m2 = 0 + -4 Combine like terms: 0 + -4 = -4 m2 = -4 Simplifying m2 = -4 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 '(3 + m2)' equal to zero and attempt to solve: Simplifying 3 + m2 = 0 Solving 3 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m2 = 0 + -3 m2 = 0 + -3 Combine like terms: 0 + -3 = -3 m2 = -3 Simplifying m2 = -3 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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