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Simplifying 4m4 + 17m2 + 4 = 0 Reorder the terms: 4 + 17m2 + 4m4 = 0 Solving 4 + 17m2 + 4m4 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m2)(1 + 4m2) = 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 '(1 + 4m2)' equal to zero and attempt to solve: Simplifying 1 + 4m2 = 0 Solving 1 + 4m2 = 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 + 4m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m2 = 0 + -1 4m2 = 0 + -1 Combine like terms: 0 + -1 = -1 4m2 = -1 Divide each side by '4'. m2 = -0.25 Simplifying m2 = -0.25 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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