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Simplifying 4m4 + -4m2 + 140 = 0 Reorder the terms: 140 + -4m2 + 4m4 = 0 Solving 140 + -4m2 + 4m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(35 + -1m2 + m4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(35 + -1m2 + m4)' equal to zero and attempt to solve: Simplifying 35 + -1m2 + m4 = 0 Solving 35 + -1m2 + m4 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -1m2 + -35 + m4 = 0 + -35 Reorder the terms: 35 + -35 + -1m2 + m4 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1m2 + m4 = 0 + -35 -1m2 + m4 = 0 + -35 Combine like terms: 0 + -35 = -35 -1m2 + m4 = -35 The m term is -1m2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1m2 + 0.25 + m4 = -35 + 0.25 Reorder the terms: 0.25 + -1m2 + m4 = -35 + 0.25 Combine like terms: -35 + 0.25 = -34.75 0.25 + -1m2 + m4 = -34.75 Factor a perfect square on the left side: (m2 + -0.5)(m2 + -0.5) = -34.75 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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