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Simplifying 2m2 + 2m + 2 = 0 Reorder the terms: 2 + 2m + 2m2 = 0 Solving 2 + 2m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + m + m2)' equal to zero and attempt to solve: Simplifying 1 + m + m2 = 0 Solving 1 + m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m + m2 = 0 + -1 m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 m + m2 = -1 The m term is m. 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. m + 0.25 + m2 = -1 + 0.25 Reorder the terms: 0.25 + m + m2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + m + m2 = -0.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -0.75 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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