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Simplifying 32m8 + -24m6 + 8m4 = 0 Reorder the terms: 8m4 + -24m6 + 32m8 = 0 Solving 8m4 + -24m6 + 32m8 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m4'. 8m4(1 + -3m2 + 4m4) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve: Simplifying m4 = 0 Solving m4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4 = 0 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 + -3m2 + 4m4)' equal to zero and attempt to solve: Simplifying 1 + -3m2 + 4m4 = 0 Solving 1 + -3m2 + 4m4 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + -0.75m2 + m4 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.75m2 + -0.25 + m4 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.75m2 + m4 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.75m2 + m4 = 0 + -0.25 -0.75m2 + m4 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.75m2 + m4 = -0.25 The m term is -0.75m2. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75m2 + 0.140625 + m4 = -0.25 + 0.140625 Reorder the terms: 0.140625 + -0.75m2 + m4 = -0.25 + 0.140625 Combine like terms: -0.25 + 0.140625 = -0.109375 0.140625 + -0.75m2 + m4 = -0.109375 Factor a perfect square on the left side: (m2 + -0.375)(m2 + -0.375) = -0.109375 Can't calculate square root of the right side. 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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