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Simplifying m4 + 12m2 + 35 = 0 Reorder the terms: 35 + 12m2 + m4 = 0 Solving 35 + 12m2 + m4 = 0 Solving for variable 'm'. Factor a trinomial. (7 + m2)(5 + m2) = 0Subproblem 1
Set the factor '(7 + m2)' equal to zero and attempt to solve: Simplifying 7 + m2 = 0 Solving 7 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m2 = 0 + -7 m2 = 0 + -7 Combine like terms: 0 + -7 = -7 m2 = -7 Simplifying m2 = -7 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 '(5 + m2)' equal to zero and attempt to solve: Simplifying 5 + m2 = 0 Solving 5 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m2 = 0 + -5 m2 = 0 + -5 Combine like terms: 0 + -5 = -5 m2 = -5 Simplifying m2 = -5 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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