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Simplifying 12m4 + 38m2 + 30 = 0 Reorder the terms: 30 + 38m2 + 12m4 = 0 Solving 30 + 38m2 + 12m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 19m2 + 6m4) = 0 Factor a trinomial. 2((5 + 3m2)(3 + 2m2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 3m2)' equal to zero and attempt to solve: Simplifying 5 + 3m2 = 0 Solving 5 + 3m2 = 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 + 3m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m2 = 0 + -5 3m2 = 0 + -5 Combine like terms: 0 + -5 = -5 3m2 = -5 Divide each side by '3'. m2 = -1.666666667 Simplifying m2 = -1.666666667 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 + 2m2)' equal to zero and attempt to solve: Simplifying 3 + 2m2 = 0 Solving 3 + 2m2 = 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 + 2m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m2 = 0 + -3 2m2 = 0 + -3 Combine like terms: 0 + -3 = -3 2m2 = -3 Divide each side by '2'. m2 = -1.5 Simplifying m2 = -1.5 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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