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Simplifying 6m4 + 12m2 = -16 Reorder the terms: 12m2 + 6m4 = -16 Solving 12m2 + 6m4 = -16 Solving for variable 'm'. Reorder the terms: 16 + 12m2 + 6m4 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 12m2 + 6m4 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6m2 + 3m4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 6m2 + 3m4)' equal to zero and attempt to solve: Simplifying 8 + 6m2 + 3m4 = 0 Solving 8 + 6m2 + 3m4 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.666666667 + 2m2 + m4 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + 2m2 + -2.666666667 + m4 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + 2m2 + m4 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + 2m2 + m4 = 0 + -2.666666667 2m2 + m4 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 2m2 + m4 = -2.666666667 The m term is 2m2. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m2 + 1 + m4 = -2.666666667 + 1 Reorder the terms: 1 + 2m2 + m4 = -2.666666667 + 1 Combine like terms: -2.666666667 + 1 = -1.666666667 1 + 2m2 + m4 = -1.666666667 Factor a perfect square on the left side: (m2 + 1)(m2 + 1) = -1.666666667 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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