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Simplifying 4m4 + 32m2 + 63 = 0 Reorder the terms: 63 + 32m2 + 4m4 = 0 Solving 63 + 32m2 + 4m4 = 0 Solving for variable 'm'. Factor a trinomial. (9 + 2m2)(7 + 2m2) = 0Subproblem 1
Set the factor '(9 + 2m2)' equal to zero and attempt to solve: Simplifying 9 + 2m2 = 0 Solving 9 + 2m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2m2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2m2 = 0 + -9 2m2 = 0 + -9 Combine like terms: 0 + -9 = -9 2m2 = -9 Divide each side by '2'. m2 = -4.5 Simplifying m2 = -4.5 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 '(7 + 2m2)' equal to zero and attempt to solve: Simplifying 7 + 2m2 = 0 Solving 7 + 2m2 = 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 + 2m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m2 = 0 + -7 2m2 = 0 + -7 Combine like terms: 0 + -7 = -7 2m2 = -7 Divide each side by '2'. m2 = -3.5 Simplifying m2 = -3.5 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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