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Simplifying 18m8 + -4m6 + 6m4 = 0 Reorder the terms: 6m4 + -4m6 + 18m8 = 0 Solving 6m4 + -4m6 + 18m8 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m4'. 2m4(3 + -2m2 + 9m4) = 0 Ignore the factor 2.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 '(3 + -2m2 + 9m4)' equal to zero and attempt to solve: Simplifying 3 + -2m2 + 9m4 = 0 Solving 3 + -2m2 + 9m4 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.3333333333 + -0.2222222222m2 + m4 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.2222222222m2 + -0.3333333333 + m4 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.2222222222m2 + m4 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.2222222222m2 + m4 = 0 + -0.3333333333 -0.2222222222m2 + m4 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.2222222222m2 + m4 = -0.3333333333 The m term is -0.2222222222m2. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222m2 + 0.01234567901 + m4 = -0.3333333333 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222m2 + m4 = -0.3333333333 + 0.01234567901 Combine like terms: -0.3333333333 + 0.01234567901 = -0.32098765429 0.01234567901 + -0.2222222222m2 + m4 = -0.32098765429 Factor a perfect square on the left side: (m2 + -0.1111111111)(m2 + -0.1111111111) = -0.32098765429 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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