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Simplifying -2m4 + 3m2 + 5 = 0 Reorder the terms: 5 + 3m2 + -2m4 = 0 Solving 5 + 3m2 + -2m4 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -2m2)(1 + m2) = 0Subproblem 1
Set the factor '(5 + -2m2)' equal to zero and attempt to solve: Simplifying 5 + -2m2 = 0 Solving 5 + -2m2 = 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 + -2m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m2 = 0 + -5 -2m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2m2 = -5 Divide each side by '-2'. m2 = 2.5 Simplifying m2 = 2.5 Take the square root of each side: m = {-1.58113883, 1.58113883}Subproblem 2
Set the factor '(1 + m2)' equal to zero and attempt to solve: Simplifying 1 + m2 = 0 Solving 1 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m2 = 0 + -1 m2 = 0 + -1 Combine like terms: 0 + -1 = -1 m2 = -1 Simplifying m2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {-1.58113883, 1.58113883}
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